The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.
An analytical computation of asymptotic Schwarzschild quasinormal frequencies
Open accessAbstract
Recently it has been proposed that a strange logarithmic expression for the so-called Barbero-Immirzi parameter, which is one of the ingredients that are necessary for loop quantum gravity (LQG) to predict the correct black hole entropy, is not a sign of an inconsistency of this approach to quantization of general relativity, but is a meaningful number that can be independently justified in classical GR.The alternative justification involves the knowledge of the real part of the frequencies of black hole quasinormal modes whose imaginary part blows up.In this paper we present an analytical derivation of the states with frequencies approaching a large imaginary number plus ln3/87rGjvM; this constant has been only known numerically so far.We discuss the structure of the quasinormal modes for perturbations of various spin.Possible implications of these states for thermal physics of black holes and quantum gravity are mentioned and interpreted in a new way.A general conjecture about the asymptotic states is stated.
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Cites
Discreteness of area and volume in quantum gravity
Rovelli, C., & Smolin, L. (1995) · Nuclear Physics B · doi:10.1016/0550-3213(95)00150-q · Cited by 1,365 · cited 1×
“The most interesting result of this approach to quantization of gravity is the following area quantization law [22, 23] that results directly from (10) and (11): A = 8πGNγ ∑”
BackgroundQuantum geometry and black hole entropy
Ashtekar, A., Baez, J., Corichi, A., & Krasnov, K. (1998) · Physical Review Letters · doi:10.1103/physrevlett.80.904 · Cited by 1,105 · cited 2×
“Under some assumptions, loop quantum gravity implies that the black hole entropy is proportional to the area of the horizon A [2, 3] as well as a numerical constant called the Barbero-Immirzi parameter [4, 5] whose value must be chosen appropriately so that the result agrees with the BekensteinHawking entropy.”
BackgroundMethodQuasinormal 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
Quantum theory of geometry: I. Area operators
Ashtekar, A., & Lewandowski, J. (1997) · Classical and Quantum Gravity · doi:10.1088/0264-9381/14/1a/006 · Cited by 852
Real Ashtekar variables for Lorentzian signature space-times
Barbero G., J. F. (1995) · Physical Review D · doi:10.1103/physrevd.51.5507 · Cited by 758
Quantum geometry of isolated horizons and black hole entropy
Ashtekar, A., Baez, J. C., & Krasnov, K. (2000) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.2000.v4.n1.a1 · Cited by 580
Cited by
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 2,095
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 1,532
Eigenvalues and eigenfunctions of spin-weighted spheroidal harmonics in four and higher dimensions
Berti, E., Cardoso, V., & Casals, M. (2006) · Physical Review D · doi:10.1103/physrevd.73.024013 · Cited by 334
ANNINOS, D. (2012) · International Journal of Modern Physics A · doi:10.1142/s0217751x1230013x · Cited by 174
Metadata
- Authors
- Motl, L.
- Venue
- Advances in Theoretical and Mathematical Physics
- Publisher
- International Press of Boston
- Published
- 2002
- Volume
- 6
- Issue
- 6
- Pages
- 1135-1162
- ISSN
- 1095-0753 (ISSN-L)
- 1095-0761
- OpenAlex
- W2118996795
- Cited by
- 278
- References
- 6
- FWCI
- 13.81
- Type
- journal article
- Language
- en
- Open access
- bronze
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