Choptuik scaling and quasinormal modes in the anti–de Sitter space/conformal-field theory correspondence
Open accessAbstract
We establish an exact connection between the Choptuik scaling parameter for the three-dimensional Ba\~nados-Teitelboim-Zanelli black hole, and the imaginary part of the quasinormal frequencies for scalar perturbations. Via the anti--de Sitter space/conformal-field theory correspondence, this leads to an interpretation of Choptuik scaling in terms of the time scale for return to equilibrium of the dual conformal field theory.
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
Handbook of Mathematical Functions
McQuarrie, D. A. (1966) · American Journal of Physics · doi:10.1119/1.1972842 · Cited by 40,433 · see citing works
The large $N$ limit of superconformal field theories and supergravity
Maldacena, J. (1998) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1998.v2.n2.a1 · Cited by 14,524 · see citing works
Anti de Sitter space and holography
Witten, E. (1998) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1998.v2.n2.a2 · Cited by 13,070 · see citing works
Gauge theory correlators from non-critical string theory
Gubser, S. S., Klebanov, I. R., & Polyakov, A. M. (1998) · Physics Letters B · doi:10.1016/s0370-2693(98)00377-3 · Cited by 9,307 · see citing works
Handbook of Mathematical Functions
Lide, D. R. (2018) · CRC Press eBooks · doi:10.1201/9781351069397-39 · Cited by 9,060 · see citing works
Large N field theories, string theory and gravity
Ofer Aharony, A., Gubser, S. S., MALDACENA, J. M., Ooguri, H., & Oz, Y. (2000) · Physics Reports · doi:10.1016/s0370-1573(99)00083-6 · Cited by 5,483 · see citing works
Anti-de Sitter space, thermal phase transition, and confinement in gauge theories
Witten, E. (1998) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1998.v2.n3.a3 · Cited by 3,915 · see citing works
Black hole in three-dimensional spacetime
Bañados, M., Teitelboim, C., & Zanelli, J. (1992) · Physical Review Letters · doi:10.1103/physrevlett.69.1849 · Cited by 3,831 · see citing works
Brown, J. D., & Henneaux, M. (1986) · Communications in Mathematical Physics · doi:10.1007/bf01211590 · Cited by 2,605 · see citing works
Geometry of the 2+1 black hole
Bañados, M., Henneaux, M., Teitelboim, C., & Zanelli, J. (1993) · Physical Review D · doi:10.1103/physrevd.48.1506 · Cited by 1,766 · see citing works
Universality and scaling in gravitational collapse of a massless scalar field
Choptuik, M. W. (1993) · Physical Review Letters · doi:10.1103/physrevlett.70.9 · Cited by 1,439 · see citing works
Three-dimensional Einstein gravity: Dynamics of flat space
Deser, S., Jackiw, R., & 't Hooft, G. (1984) · Annals of Physics · doi:10.1016/0003-4916(84)90085-x · Cited by 1,222 · see citing works
Quasinormal modes of AdS black holes and the approach to thermal equilibrium
Horowitz, G. T., & Hubeny, V. E. (2000) · Physical Review D · doi:10.1103/physrevd.62.024027 · Cited by 926 · see citing works
The (2 + 1)-dimensional black hole
Carlip, S. (1995) · Classical and Quantum Gravity · doi:10.1088/0264-9381/12/12/005 · Cited by 609 · see citing works
Anti De Sitter Space And Holography
Witten, E. (1998) · arXiv · doi:10.48550/arxiv.hep-th/9802150 · Cited by 374 · see citing works
Closed timelike curves produced by pairs of moving cosmic strings: Exact solutions
Gott, J. R. (1991) · Physical Review Letters · doi:10.1103/physrevlett.66.1126 · Cited by 373 · see citing works
Scalar, electromagnetic, and Weyl perturbations of BTZ black holes: Quasinormal modes
Cardoso, V., & Lemos, J. P. S. (2001) · Physical Review D · doi:10.1103/physrevd.63.124015 · Cited by 372 · see citing works
Holographic particle detection
Balasubramanian, V., & Ross, S. F. (2000) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.61.044007 · Cited by 261 · see citing works
Scalar wave falloff in asymptotically anti–de Sitter backgrounds
Chan, J. S. F., & Mann, R. B. (1997) · Physical Review D · doi:10.1103/physrevd.55.7546 · Cited by 186 · see citing works
Geodesic propagators and black hole holography
Louko, J., Marolf, D. M., & Ross, S. F. (2000) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.62.044041 · Cited by 185 · see citing works
Quasinormal modes of Reissner-Nordström Anti-de Sitter black holes
Wang, B., Lin, C.-Y., & Abdalla, E. (2000) · Physics Letters B · doi:10.1016/s0370-2693(00)00409-3 · Cited by 177 · see citing works
Physical cosmic strings do not generate closed timelike curves
Deser, S., Jackiw, R., & Hooft, G. ’. (1992) · Physical Review Letters · doi:10.1103/physrevlett.68.267 · Cited by 151 · see citing works
Entropies of scalar fields on three dimensional black holes
Ichinose, I., & Satoh, Y. (1995) · Nuclear Physics B · doi:10.1016/0550-3213(95)00197-z · Cited by 128 · see citing works
Comments on black holes in string theory
Horowitz, G. T. (2000) · Classical and Quantum Gravity · doi:10.1088/0264-9381/17/5/320 · Cited by 127 · see citing works
Spherically collapsing matter in AdS, holography, and shellons
Danielsson, U. H., Keski-Vakkuri, E., & Kruczenski, M. (1999) · Nuclear Physics B · doi:10.1016/s0550-3213(99)00511-8 · Cited by 114 · see citing works
Evolution of a massless scalar field in Reissner-Nordström anti–de Sitter spacetimes
Wang, B., Molina, C., & Elcio Abdalla, A. (2001) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.63.084001 · Cited by 113 · see citing works
Black hole formation in AdS and thermalization on the boundary
Danielsson, U. H., Keski-Vakkuri, E., & Kruczenski, M. (2000) · Journal of High Energy Physics · doi:10.1088/1126-6708/2000/02/039 · Cited by 111 · see citing works
Critical phenomena in gravitational collapse
Gundlach, C. (1998) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1998.v2.n1.a1 · Cited by 110 · see citing works
Gravitational collapse in 2+1 dimensional AdS spacetime
Pretorius, F., & Choptuik, M. W. (2000) · Physical Review D · doi:10.1103/physrevd.62.124012 · Cited by 106 · see citing works
Black Hole Formation in AdS and Thermalization on the BoundaryPreprint
Danielsson, U., Keski-Vakkuri, E., & Kruczenski, M. (1999) · Cited by 105 · see citing works
Black hole creation in 2 + 1 dimensions
Matschull, H.-J. (1999) · Classical and Quantum Gravity · doi:10.1088/0264-9381/16/3/032 · Cited by 99 · see citing works
Scalar wave falloff in topological black hole backgrounds
Chan, J. S. F., & Mann, R. B. (1999) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.59.064025 · Cited by 98 · see citing works
Zhu, J.-M., Wang, B., & Elcio Abdalla, A. (2001) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.63.124004 · Cited by 75 · see citing works
Three-dimensional black holes and string theory
Birmingham, D., Sachs, I., & Sen, S. (1997) · Physics Letters B · doi:10.1016/s0370-2693(97)01125-8 · Cited by 74 · see citing works
Self-citationScalar field collapse in three-dimensional AdS spacetime
Husain, V., & Olivier, M. (2001) · Classical and Quantum Gravity · doi:10.1088/0264-9381/18/2/101 · Cited by 70 · see citing works
Phase transition for gravitationally collapsing dust shells in 2+1 dimensions
Peleg, Y., & Steif, A. R. (1995) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.51.r3992 · Cited by 56 · see citing works
Exact solution for (2+1)-dimensional critical collapse
Garfinkle, D. (2001) · Physical Review D · doi:10.1103/physrevd.63.044007 · Cited by 53 · see citing works
An obstacle to building a time machine
Carroll, S. M., Farhi, E., & Guth, A. H. (1992) · Physical Review Letters · doi:10.1103/physrevlett.68.263 · Cited by 51 · see citing works
Quasi-normal modes of AdS black holes: a superpotential approach
Govindarajan, T. R., & Suneeta, V. (2000) · Classical and Quantum Gravity · doi:10.1088/0264-9381/18/2/306 · Cited by 48 · see citing works
Gott Time Machines, BTZ Black Hole Formation, and Choptuik Scaling
Birmingham, D., & Sen, S. (2000) · Physical Review Letters · doi:10.1103/physrevlett.84.1074 · Cited by 40 · see citing works
Self-citationHawking temperature and string scattering off the 2+1 black hole
Ghoroku, K., & Larsen, A. L. (1994) · Physics Letters B · doi:10.1016/0370-2693(94)90423-5 · Cited by 39 · see citing works
The anti-de Sitter Gott universe: a rotating BTZ wormhole
Holst, S., & Matschull, H.-J. (1999) · Classical and Quantum Gravity · doi:10.1088/0264-9381/16/10/305 · Cited by 38 · see citing works
Time-symmetric initial data for multibody solutions in three dimensions
Steif, A. R. (1996) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.53.5527 · Cited by 33 · see citing works
Critical phenomena in gravitational collapse (review paper)Preprint
Gundlach, C. (1997) · arXiv (Cornell University) · doi:10.48550/arxiv.gr-qc/9712084 · Cited by 8 · see citing works
Analytical treatment of critical collapse in 2+1 dimensional AdS spacetimePreprint
Clément, G., & Fabbri, A. (2001) · arXiv (Cornell University) · Cited by 5 · see citing works
Anti-de Sitter Space, Thermal Phase Transition, And Confinement In Gauge Theories
Witten, E. (1998) · arXiv · doi:10.48550/arxiv.hep-th/9803131 · Cited by 3 · see citing works
Gravitational collapse in 2+1 dimensional AdS spacetime
Pretorius, F., & Choptuik, M. W. (2000) · CERN Document Server (European Organization for Nuclear Research) · doi:10.48550/arxiv.gr-qc/0007008 · Cited by 1 · see citing works
Phase Transition for Gravitationally Collapsing Dust Shells in 2+1 DimensionsPreprint
Peleg, Y., & Steif, A. R. (1994) · arXiv (Cornell University) · doi:10.48550/arxiv.gr-qc/9412023 · Cited by 1 · see citing works
Flagged first, then by citations
Research works printed but not linked: 19
- D. Birmingham and S. Sen, Phys. Rev. Lett. 84 (2000) 1074; hep-th/9908150. · arXiv
- J.S.F. Chan and R.B. Mann, Phys. Rev. D55 (1997) 7546; gr-qc/9612026. · arXiv
- G.T. Horowitz and V.E. Hubeny, Phys. Rev. D62 (2000) 024027; hep-th/9909056. · arXiv
- B. Wang, C.Y. Lin, and E. Abdalla, Phys. Lett. B481 (2000) 79; hep-th/0003295. · arXiv
- T.R. Govindarajan and V. Suneeta, Class. Quantum. Grav. 18 (2001) 265; gr-qc/0007084. · arXiv
- J. Maldacena, Adv. Theor. Math. Phys. 2 (1998) 231; hep-th/9711200. · arXiv
- For a review, see O. Aharony, S.S. Gubser, J. Maldacena, H. Ooguri, and Y. Oz, Phys. Rep. 323 (2000) 183; hep-th/9905111. · arXiv
- For a review, see S. Carlip, Class. Quantum. Grav. 12 (1995) 2853; gr-qc/9506079. · arXiv
- I. Ichinose and Y. Satoh, Nucl. Phys. B447 (1995) 340; hep-th/9412144. · arXiv
- D. Birmingham, I. Sachs, and S. Sen, Phys. Lett. B413 (1997) 281; hep-th/9707188. · arXiv
- M. Bañados, M. Henneaux, C. Teitelboim, and J. Zanelli, Phys. Rev. D48 (1993) 1506; gr-qc/9302012. · arXiv
- A.R. Steif, Phys. Rev. D53 (1996) 5527; gr-qc/9511053. · arXiv
- H.-J. Matschull, Class. Quantum Grav. 16 (1999) 1069; gr-qc/9809087. · arXiv
- S. Holst and H.-J. Matschull, Class. Quantum Grav. 16 (1999) 3095; gr-qc/9905030. · arXiv
- D. Garfinkle, Phys. Rev. D63 (2001) 044007; gr-qc/0008023. · arXiv
- V. Husain and M. Olivier, Class. Quantum Grav. 18 (2001) L1; gr-qc/0008060. · arXiv
- V. Balasubramanian and S.F. Ross, Phys. Rev. D61 (2000) 044007; hep-th/9906226. · arXiv
- U.H. Danielsson, E. Keski-Vakkuri, and M. Kruczenski, Nucl. Phys. B563 (1999) 279; hep-th/9905227. · arXiv
- J. Louko, D. Marolf, and S.F. Ross, Phys. Rev. D62 (2000) 044041; hep-th/0002111. · arXiv
Cited by
Sorted by citations
Quasinormal modes of black holes and black branes
Berti, E., Cardoso, V., & Starinets, A. O. (2009) · Classical and Quantum Gravity · doi:10.1088/0264-9381/26/16/163001 · Cited by 2,293 · see citing works
Quasinormal modes of black holes: From astrophysics to string theory
Konoplya, R. A., & Zhidenko, A. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.793 · Cited by 1,568 · see citing works
Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
Son, D. T., & Starinets, A. O. (2002) · Journal of High Energy Physics · doi:10.1088/1126-6708/2002/09/042 · Cited by 1,303 · see citing works
Conformal Field Theory Interpretation of Black Hole Quasinormal Modes
Birmingham, D., Sachs, I., & Solodukhin, S. N. (2002) · Physical Review Letters · doi:10.1103/physrevlett.88.151301 · Cited by 502 · see citing works
Self-citationCritical Phenomena in Gravitational Collapse
Gundlach, C., & Martín-García, J. M. (2007) · Living Reviews in Relativity · doi:10.12942/lrr-2007-5 · Cited by 406 · see citing works
Cardoso, V., & Lemos, J. P. S. (2001) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.64.084017 · Cited by 368 · see citing works
Microscopic formulation of black holes in string theory
David, J. R., Mandal, G., & Wadia, S. R. (2002) · Physics Reports · doi:10.1016/s0370-1573(02)00271-5 · Cited by 363 · see citing works
Microscopic Formulation of Black Holes in String TheoryPreprint
David, J. R., Mandal, G., Al, B., & Wadia, S. R. (2002) · Cited by 290 · see citing works
Natário, J., & Schiappa, R. (2004) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.2004.v8.n6.a4 · Cited by 225 · see citing works
Núñez, Á. S., & Starinets, A. O. (2003) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.67.124013 · Cited by 207 · see citing works
Quasinormal modes of a small Schwarzschild–anti-de Sitter black hole
Konoplya, R. A. (2002) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.66.044009 · Cited by 186 · see citing works
Weak field black hole formation in asymptotically AdS spacetimes
Bhattacharyya, S., & Minwalla, S. (2009) · Journal of High Energy Physics · doi:10.1088/1126-6708/2009/09/034 · Cited by 178 · see citing works
Critical phenomena in gravitational collapse
Gundlach, C. (2003) · Physics Reports · doi:10.1016/s0370-1573(02)00560-4 · Cited by 172 · see citing works
Quasinormal modes of the Bardeen black hole: Scalar perturbations
Fernando, S., & Correa, J. P. (2012) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.86.064039 · Cited by 167 · see citing works
Konoplya, R. A. (2002) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.66.084007 · Cited by 152 · see citing works
Weak Field Black Hole Formation in Asymptotically AdS SpacetimesPreprint
Bhattacharyya, S., & Minwalla, S. N. (2013) · Cited by 142 · see citing works
Zhang, Y., & Gui, Y. X. (2006) · Classical and Quantum Gravity · doi:10.1088/0264-9381/23/22/004 · Cited by 140 · see citing works
Rincón, Á., & Panotopoulos, G. (2018) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.97.024027 · Cited by 126 · see citing works
Wang, B., Lin, C.-Y., & Molina, C. (2004) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.70.064025 · Cited by 124 · see citing works
Quasinormal modes ofd-dimensional spherical black holes with a near extreme cosmological constant
Molina, C. (2003) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.68.064007 · Cited by 117 · see citing works
Quasinormal modes of D-dimensional de Sitter spacetime
López-Ortega, A. (2006) · General Relativity and Gravitation · doi:10.1007/s10714-006-0335-9 · Cited by 107 · see citing works
Quasinormal modes for massless topological black holes
Aros, R., Martínez, C., Troncoso, R., & Zanelli, J. (2003) · Physical Review D · doi:10.1103/physrevd.67.044014 · Cited by 102 · see citing works
Cardoso, V., & Lemos, J. P. S. (2001) · Classical and Quantum Gravity · doi:10.1088/0264-9381/18/23/319 · Cited by 97 · see citing works
Quasinormal modes in pure de Sitter spacetimes
Du, D., Wang, B., & Ru-keng Su, C. (2004) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.70.064024 · Cited by 96 · see citing works
Massive charged scalar field in a Reissner–Nordstrom black hole background: quasinormal ringing
Konoplya, R. A. (2002) · Physics Letters B · doi:10.1016/s0370-2693(02)02974-x · Cited by 94 · see citing works
Relaxation in conformal field theory, Hawking-Page transition, and quasinormal or normal modes
Birmingham, D., Sachs, I., & Solodukhin, S. N. (2003) · Physical Review D · doi:10.1103/physrevd.67.104026 · Cited by 90 · see citing works
Self-citationScalar wave propagation in topological black hole backgrounds
Wang, B., Elcio Abdalla, A., & Mann, R. B. (2002) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.65.084006 · Cited by 90 · see citing works
Horizon constraints on holographic Green’s functions
Blake, M., Davison, R. A., & Vegh, D. (2020) · Journal of High Energy Physics · doi:10.1007/jhep01(2020)077 · Cited by 88 · see citing works
Quasinormal Modes of Charged Dilaton Black Holes in 2 + 1 Dimensions
Fernando, S. (2003) · General Relativity and Gravitation · doi:10.1023/b:gerg.0000006694.68399.c9 · Cited by 83 · see citing works
Massive charged scalar field in a Reissner-Nordstrom black hole background: quasinormal ringing
Konoplya, R. A. (2002) · CERN Document Server (European Organization for Nuclear Research) · Cited by 79 · see citing works
Spinning dilaton black holes in 2+1 dimensions: Quasinormal modes and the area spectrum
Fernando, S. (2009) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.79.124026 · Cited by 71 · see citing works
Area spectra of the rotating BTZ black hole from quasinormal modes
Kwon, Y., & Nam, S. (2010) · Classical and Quantum Gravity · doi:10.1088/0264-9381/27/12/125007 · Cited by 68 · see citing works
On Field Theory Thermalization from Gravitational CollapsePreprint
Garfinkle, D., P, L. A., Zayas, O., & Reichmann, D. (2016) · Cited by 77 · see citing works
Quasinormal modes of black holes in Einstein-power-Maxwell theory
Panotopoulos, G., & Rincón, Á. (2017) · International Journal of Modern Physics D · doi:10.1142/s0218271818500347 · Cited by 64 · see citing works
Horizon constraints on holographic Green’s functions
Blake, M., Davison, R. A., & Vegh, D. (2019) · OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) · doi:10.17863/cam.53274 · Cited by 62 · see citing works
Quasi-normal modes of warped black holes and warped AdS/CFT correspondence
Chen, B., & Xu, Z.-B. (2009) · Journal of High Energy Physics · doi:10.1088/1126-6708/2009/11/091 · Cited by 62 · see citing works
Quasinormal modes of extremal BTZ black hole
Crisóstomo, J., Lepe, S., & Saavedra, J. (2004) · Classical and Quantum Gravity · doi:10.1088/0264-9381/21/12/002 · Cited by 59 · see citing works
Quasinormal modes of regular black holes with non-linear electrodynamical sources
Panotopoulos, G., & Rincón, Á. (2019) · The European Physical Journal Plus · doi:10.1140/epjp/i2019-12686-x · Cited by 59 · see citing works
Quasinormal modes of charged scalars around dilaton black holes in 2+1 dimensions: Exact frequencies
Fernando, S. (2008) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.77.124005 · Cited by 59 · see citing works
The BTZ black hole violates strong cosmic censorship
Dias, Ó. J. C., Reall, H. S., & Santos, J. E. (2019) · Apollo (University of Cambridge) · doi:10.17863/cam.46922 · Cited by 58 · see citing works
Support of dS/CFT correspondence from perturbations of three-dimensional spacetime
Elcio Abdalla, A., Wang, B., Lima-Santos, A., & Qiu, W. G. (2002) · Physics Letters B · doi:10.1016/s0370-2693(02)02039-7 · Cited by 57 · see citing works
Drag force of moving quark in STU background
Sadeghi, J., Setare, M. R., Pourhassan, B., & Hashmatian, S. (2009) · The European Physical Journal C · doi:10.1140/epjc/s10052-009-1011-5 · Cited by 54 · see citing works
Beyond the veil: Inner horizon instability and holography
Balasubramanian, V., & Levi, T. S. (2004) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.70.106005 · Cited by 54 · see citing works
Asymptotic form of quasi-normal modes of large AdS black holes
Musiri, S., & Siopsis, G. (2003) · Physics Letters B · doi:10.1016/j.physletb.2003.10.015 · Cited by 53 · see citing works
Fermionic pole-skipping in holography
Čeplak, N., Ramdial, K., & Vegh, D. (2020) · Journal of High Energy Physics · doi:10.1007/jhep07(2020)203 · Cited by 52 · see citing works
Restoring unitarity in the Banados-Teitelboim-Zanelli black hole
Solodukhin, S. N. (2005) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.71.064006 · Cited by 50 · see citing works
Quasinormal modes in the background of charged Kaluza–Klein black hole with squashed horizons
He, X., Wang, B., Chen, S., Cai, R.-G., & Lin, C.-Y. (2008) · Physics Letters B · doi:10.1016/j.physletb.2008.06.038 · Cited by 48 · see citing works
The phase transition and the quasi-normal modes of black holes
Shen, J., Wang, B., Ru-keng Su, C., Lin, C.-Y., & Cai, R.-G. (2007) · Journal of High Energy Physics · doi:10.1088/1126-6708/2007/07/037 · Cited by 48 · see citing works
Drag Force of Moving Quark in STU BackgroundPreprint
Sadeghi, J., Setare, M. R., Pourhassan, B., & Hashmatian, S. (2009) · Cited by 48 · see citing works
Black hole spectroscopy: from theory to experiment
Berti, E., Cardoso, V., Carullo, G., Abedi, J., Afshordi, N., Albanesi, S., Baibhav, V., Bhagwat, S., Blázquez-Salcedo, J. L., Bonga, B., et al. (2026) · Classical and Quantum Gravity · doi:10.1088/1361-6382/ae59e2 · Cited by 70 · see citing works
Noncommutative scalar quasinormal modes of the Reissner–Nordström black hole
Ćirić, M. D., Konjik, N., & Samsarov, A. (2018) · Classical and Quantum Gravity · doi:10.1088/1361-6382/aad201 · Cited by 46 · see citing works
Destounis, K., Panotopoulos, G., & Rincón, Á. (2018) · The European Physical Journal C · doi:10.1140/epjc/s10052-018-5576-8 · Cited by 46 · see citing works
Exact Results for the BTZ Black Hole
Birmingham, D., Sachs, I., & Sen, S. (2001) · CERN Document Server (European Organization for Nuclear Research) · Cited by 45 · see citing works
Self-citationFernando, S. (2005) · General Relativity and Gravitation · doi:10.1007/s10714-005-0044-9 · Cited by 44 · see citing works
Quasinormal modes for the Vaidya metric
Elcio Abdalla, A., Chirenti, C., & Saa, A. (2006) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.74.084029 · Cited by 44 · see citing works
Chen, S., & Jing, J. (2005) · Classical and Quantum Gravity · doi:10.1088/0264-9381/22/3/006 · Cited by 43 · see citing works
Quasi-normal modes for new type black holes in new massive gravity
Kwon, Y., Nam, S., Park, J.-D., & Yi, S.-H. (2011) · Classical and Quantum Gravity · doi:10.1088/0264-9381/28/14/145006 · Cited by 42 · see citing works
Quasinormal modes and phase transition of black holes
Rao, X., Wang, B., & Yang, G.-H. (2007) · Physics Letters B · doi:10.1016/j.physletb.2007.04.049 · Cited by 42 · see citing works
Drag force with different charges in STU background and AdS/CFT
Sadeghi, J., Setare, M. R., & Pourhassan, B. (2009) · Journal of Physics G Nuclear and Particle Physics · doi:10.1088/0954-3899/36/11/115005 · Cited by 41 · see citing works
New formulation of the first law of black hole thermodynamics: a stringy analogy
Wu, S. (2005) · Physics Letters B · doi:10.1016/j.physletb.2005.01.018 · Cited by 39 · see citing works
Signature of the black hole phase transition in quasinormal modes
He, X., Wang, B., Cai, R.-G., & Lin, C.-Y. (2010) · Physics Letters B · doi:10.1016/j.physletb.2010.04.006 · Cited by 39 · see citing works
Higher spin quasinormal modes and one-loop determinants in the BTZ black hole
Datta, S., & David, J. R. (2012) · Journal of High Energy Physics · doi:10.1007/jhep03(2012)079 · Cited by 38 · see citing works
Quasinormal modes of five-dimensional black holes in non-commutative geometry
Panotopoulos, G., & Rincón, Á. (2020) · The European Physical Journal Plus · doi:10.1140/epjp/s13360-019-00016-z · Cited by 38 · see citing works
Wave dynamics of a six-dimensional black hole localized on a tensional three-brane
Chen, S., Wang, B., & Ru-keng Su, C. (2007) · Physics Letters B · doi:10.1016/j.physletb.2007.02.028 · Cited by 38 · see citing works
Exact gravitational quasinormal frequencies of topological black holes
Birmingham, D., & Mokhtari, S. (2006) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.74.084026 · Cited by 38 · see citing works
Self-citationQUASINORMAL MODES OF UNRUH'S ACOUSTIC BLACK HOLE
SAAVEDRA, J. (2006) · Modern Physics Letters A · doi:10.1142/s0217732306019712 · Cited by 37 · see citing works
Quasinormal modes of an improved Schwarzschild black hole
Rincón, Á., & Panotopoulos, G. (2020) · Physics of the Dark Universe · doi:10.1016/j.dark.2020.100639 · Cited by 37 · see citing works
Quasi-normal modes and black-hole quantum mechanics in 2 1 dimensions
Birmingham, D., Carlip, S. J., & Chen, Y. (2003) · Classical and Quantum Gravity · doi:10.1088/0264-9381/20/20/101 · Cited by 37 · see citing works
Self-citationMinamitsuji, M. (2014) · General Relativity and Gravitation · doi:10.1007/s10714-014-1785-0 · Cited by 36 · see citing works
Noncommutative duality and fermionic quasinormal modes of the BTZ black hole
Gupta, K. S., Jurić, T., & Samsarov, A. (2017) · Journal of High Energy Physics · doi:10.1007/jhep06(2017)107 · Cited by 34 · see citing works
Chen, S., & Jing, J. (2004) · CERN Document Server (European Organization for Nuclear Research) · Cited by 36 · see citing works
Area spectrum of slowly rotating black holes
Myung, Y. S. (2010) · Physics Letters B · doi:10.1016/j.physletb.2010.04.041 · Cited by 35 · see citing works
Superradiance in the BTZ black hole with Robin boundary conditions
Dappiaggi, C., Ferreira, H. R. C., & Herdeiro, C. (2018) · Physics Letters B · doi:10.1016/j.physletb.2018.01.018 · Cited by 35 · see citing works
Regular Charged Black Holes, Energy Conditions, and Quasinormal Modes
Balart, L., Panotopoulos, G., & Rincón, Á. (2023) · Fortschritte der Physik · doi:10.1002/prop.202300075 · Cited by 35 · see citing works
Effects of Noncommutativity on the Black Hole Entropy
Gupta, K. S., Harikumar, E., Jurić, T., Meljanac, S., & Samsarov, A. (2014) · Advances in High Energy Physics · doi:10.1155/2014/139172 · Cited by 35 · see citing works
Quasinormal modes of charged squashed Kaluza-Klein black holes in the Gödel universe
He, X., Wang, B., & Chen, S. (2009) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.79.084005 · Cited by 35 · see citing works
Drag force with different charges in STU background and AdS/CFTPreprint
Sadeghi, J. (2009) · Cited by 35 · see citing works
Rincón, Á., González, P. A., Panotopoulos, G., Saavedra, J., & Vásquez, Y. (2022) · The European Physical Journal Plus · doi:10.1140/epjp/s13360-022-03438-4
Magnetic string coupled to nonlinear electromagnetic field
Hendi, S. H. (2009) · Physics Letters B · doi:10.1016/j.physletb.2009.06.074 · Cited by 33 · see citing works
Quasinormal modes in a time-dependent black hole background
Shao, C.-G., Wang, B., Elcio Abdalla, A., & Ru-keng Su, C. (2005) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.71.044003 · Cited by 33 · see citing works
Absorption cross section in warped AdS3black hole
Oh, J. J., & Kim, W. (2009) · Journal of High Energy Physics · doi:10.1088/1126-6708/2009/01/067 · Cited by 32 · see citing works
Stationary scalar clouds around a BTZ black hole
Ferreira, H. R. C., & Herdeiro, C. (2017) · Physics Letters B · doi:10.1016/j.physletb.2017.08.017 · Cited by 31 · see citing works
Quasinormal modes of warped AdS3 black holes and warped AdS/CFT correspondence
Chen, B., & Xu, Z.-B. (2009) · Physics Letters B · doi:10.1016/j.physletb.2009.04.008 · Cited by 31 · see citing works
Scalar Perturbations of Charged Dilaton Black Holes
Fernando, S., & Arnold, K. (2004) · General Relativity and Gravitation · doi:10.1023/b:gerg.0000035953.31652.88 · Cited by 31 · see citing works
Quasinormal modes of D3-brane black holes
Kurita, Y., & Sakagami, M.-A. (2003) · Physical Review D · doi:10.1103/physrevd.67.024003 · Cited by 29 · see citing works
DECAY OF MASSLESS DIRAC FIELD AROUND THE BORN–INFELD BLACK HOLE
FERNANDO, S. (2010) · International Journal of Modern Physics A · doi:10.1142/s0217751x10047750 · Cited by 29 · see citing works
Nonquasinormal Modes and Black Hole Physics
Birmingham, D., & Carlip, S. (2004) · Physical Review Letters · doi:10.1103/physrevlett.92.111302 · Cited by 29 · see citing works
Self-citationUniversal Spatial Structure of Nonequilibrium Steady States
Sonner, J., & Withers, B. (2017) · Physical Review Letters · doi:10.1103/physrevlett.119.161603 · Cited by 28 · see citing works
Lin, K., Li, J., & Yang, N. (2011) · General Relativity and Gravitation · doi:10.1007/s10714-011-1162-1 · Cited by 28 · see citing works
Large mass expansion of quasi-normal modes in AdS5
Siopsis, G. (2004) · Physics Letters B · doi:10.1016/j.physletb.2004.03.064 · Cited by 28 · see citing works
Quasi-normal modes of the scalar hairy black hole
Zhidenko, A. (2006) · Classical and Quantum Gravity · doi:10.1088/0264-9381/23/9/024 · Cited by 28 · see citing works
Quantum tunneling and quasinormal modes in the spacetime of the Alcubierre warp drive
Jusufi, K., Sakallı, İ., & Övgün, A. (2017) · General Relativity and Gravitation · doi:10.1007/s10714-017-2330-8 · Cited by 27 · see citing works
Quasinormal modes and Choptuik scaling in the near extremal Reissner–Nordström black hole
Kim, W. T., & John Jungkeun, O. H. (2001) · Physics Letters B · doi:10.1016/s0370-2693(01)00786-9 · Cited by 26 · see citing works
Gravity dual of 1+1 dimensional Bjorken expansion
Kajantie, K., Louko, J., & Tahkokallio, T. (2007) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.76.106006 · Cited by 26 · see citing works
Quasinormal modes of black holes with a scalar hair in Einstein-Maxwell-dilaton theory
Rincón, Á., & Panotopoulos, G. (2020) · Physica Scripta · doi:10.1088/1402-4896/aba201 · Cited by 24 · see citing works
Quasinormal modes of black holes absorbing dark energy
He, X., Wang, B., Wu, S.-F., & Lin, C.-Y. (2009) · Physics Letters B · doi:10.1016/j.physletb.2009.02.002 · Cited by 24 · see citing works
CHOPTUIK SCALING AND QUASINORMAL MODES IN THE ADS/CFT CORRESPONDENCE
Birmingham, D. (2002) · International Journal of Modern Physics A · doi:10.1142/s0217751x02011771 · Cited by 23 · see citing works
Self-citationOn quasi-normal modes and the AdS5/CFT4 correspondence
Siopsis, G. (2005) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2005.03.023 · Cited by 23 · see citing works
Hairy BTZ black hole and its analogue model in graphene
Kandemir, B. S. (2020) · Annals of Physics · doi:10.1016/j.aop.2019.168064 · Cited by 22 · see citing works
Charged scalar quasi-normal modes for linearly charged dilaton-Lifshitz solutions
Zangeneh, M. K., Wang, B., Sheykhi, A., & Tang, Z.-Y. (2017) · Physics Letters B · doi:10.1016/j.physletb.2017.05.050 · Cited by 22 · see citing works
- Authors
- Birmingham, D.
- Affiliations
- University College Dublin (IE)
- Corresponding author
- Birmingham, Danny
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2001-08-28
- Volume
- 64
- Issue
- 6
- ISSN
- 0556-2821 (ISSN-L)
- 1089-4918
- OpenAlex
- W2109809748
- Cited by
- 222
- References
- 43
- Citations by year
- 2026: 11 · 2025: 12 · 2024: 16 · 2023: 8 · 2022: 5 · 2021: 3 · 2020: 10 · 2019: 6 · 2018: 11 · 2017: 8 · 2016: 5 · 2015: 4 · 2014: 5 · 2013: 5 · 2012: 4
- FWCI
- 8.61
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Pulsars and Gravitational Waves Research
- Keywords
- Choptuik scaling, quasinormal modes, BTZ black hole, scalar perturbations, return to equilibrium, holography, three-dimensional gravity, black hole phase transitions
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
