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Quantum Kerr-de Sitter black holes in three dimensions

Panella, Emanuele, Svesko, Andrew·2023·Journal of High Energy Physics
DOI 10.1007/jhep06(2023)127
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Abstract

A bstract: We use braneworld holography to construct a three-dimensional quantum-corrected Kerr-de Sitter black hole, exactly accounting for semi-classical backreaction effects due to a holographic conformal field theory. By contrast, classically there are no de Sitter black holes in three-dimensions, only geometries with a single cosmological horizon. The quantum Kerr black hole shares many qualitative features with the classical four-dimensional Kerr-de Sitter solution. Of note, backreaction induces inner and outer black hole horizons which hide a ring singularity. Moreover, the quantum-corrected geometry has extremal, Nariai, and ultracold limits, which appear as fibered products of a circle and two-dimensional anti-de Sitter, de Sitter, and Minkowski space, respectively. The thermodynamics of the classical bulk black hole, described by the rotating four-dimensional anti-de Sitter C-metric, has an interpretation on the brane as thermodynamics of the quantum black hole, obeying a semi-classical first law where the Bekenstein-Hawking area entropy is replaced by the generalized entropy. For purposes of comparison, we derive the renormalized quantum stress-tensor due to a free conformally coupled scalar field in the classical Kerr-de Sitter conical geometry and perturbatively solve for its backreaction.

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  • The rotating and charged holographic quantum black holes do not match the non-holographic perturbatively-corrected counterparts.

    “The rotating and charged holographic quantum black holes, meanwhile, do not match to the non-holographic perturbatively-corrected counterparts (cf.[27,40,45]).”

    From Three-Dimensional Quantum Black Holes: A Primer (2024) · cites this paper as [27]

  • Starting from the rotating C-metric (4.40) with κ = +1 and replacing a → -a, and imposing bulk regularity, the metric on the brane in canonically normalized coordinates is (4.114).

    “Starting from the rotating C-metric (4.40) with κ = +1 and replacing a → -a, and imposing bulk regularity, the metric on the brane in canonically normalized coordinates is [27] foot_14”

    From Three-Dimensional Quantum Black Holes: A Primer (2024) · cites this paper as [27]

  • The radial dependence of the renormalized stress-tensor due to a conformally coupled scalar field is significantly more complicated than the holographic stress-tensor.

    “Further, as in the qBTZ case, the radial dependence of the renormalized stress-tensor due to a conformally coupled scalar field (found perturbatively in [27]) is significantly more complicated than the holographic stress-tensor.”

    From Three-Dimensional Quantum Black Holes: A Primer (2024) · cites this paper as [27]

  • Substituting the geometry (4.114) into the gravity field equations results in a holographic stress-tensor with components of essentially the same form as (4.64).

    “Substituting the geometry (4.114) into the gravity field equations results in a holographic stress-tensor with components of essentially the same form as (4.64) -see [27] for explicit details.”

    From Three-Dimensional Quantum Black Holes: A Primer (2024) · cites this paper as [27]

  • In the near-horizon regime, the limiting geometries appear as fibered products of a circle and two-dimensional anti-de Sitter, de Sitter, and Minkowski space, respectively.

    “In the near-horizon regime, the geometries appear as fibered products of a circle and two-dimensional anti-de Sitter, de Sitter, and Minkowski space, respectively.”

    From Three-Dimensional Quantum Black Holes: A Primer (2024) · cites this paper as [27]

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  1. M. Banados, C. Teitelboim and J. Zanelli, The Black hole in three-dimensional space-time, Phys. Rev. Lett. 69 (1992) 1849 [hep-th/9204099] [INSPIRE]. · DOI · Paper page
  2. M. Banados, M. Henneaux, C. Teitelboim and J. Zanelli, Geometry of the (2 + 1) black hole, Phys. Rev. D 48 (1993) 1506 [Erratum ibid. 88 (2013) 069902] [gr-qc/9302012] [INSPIRE]. · DOI · Paper page
  3. A. Strominger, Black hole entropy from near horizon microstates, JHEP 02 (1998) 009 [hep-th/9712251] [INSPIRE]. · DOI · Paper page
  4. D. Birmingham, I. Sachs and S. Sen, Entropy of three-dimensional black holes in string theory, Phys. Lett. B 424 (1998) 275 [hep-th/9801019] [INSPIRE]. · DOI · Paper page
  5. R. Dijkgraaf, J.M. Maldacena, G.W. Moore and E.P. Verlinde, A Black hole Farey tail, hep-th/0005003 [INSPIRE]. · arXiv
  6. S. Deser and R. Jackiw, Three-Dimensional Cosmological Gravity: Dynamics of Constant Curvature, Annals Phys. 153 (1984) 405 [INSPIRE]. · DOI · Paper page
  7. R. Emparan et al., Black holes in dS3, JHEP 11 (2022) 073 [arXiv:2207.03302] [INSPIRE]. · DOI · Paper page
  8. D. Klemm and L. Vanzo, De Sitter gravity and Liouville theory, JHEP 04 (2002) 030 [hep-th/0203268] [INSPIRE]. · DOI
  9. S. de Haro, K. Skenderis and S.N. Solodukhin, Gravity in warped compactifications and the holographic stress tensor, Class. Quant. Grav. 18 (2001) 3171 [hep-th/0011230] [INSPIRE]. · DOI · Paper page
  10. L. Randall and R. Sundrum, An Alternative to compactification, Phys. Rev. Lett. 83 (1999) 4690 [hep-th/9906064] [INSPIRE]. · DOI · Paper page
  11. R. Emparan, A. Fabbri and N. Kaloper, Quantum black holes as holograms in AdS brane worlds, JHEP 08 (2002) 043 [hep-th/0206155] [INSPIRE]. · DOI · Paper page
  12. R. Emparan, A.M. Frassino and B. Way, Quantum BTZ black hole, JHEP 11 (2020) 137 [arXiv:2007.15999] [INSPIRE]. · DOI · Paper page
  13. R. Emparan, G.T. Horowitz and R.C. Myers, Exact description of black holes on branes, JHEP 01 (2000) 007 [hep-th/9911043] [INSPIRE]. · DOI · Paper page
  14. R. Emparan, G.T. Horowitz and R.C. Myers, Exact description of black holes on branes. II: Comparison with BTZ black holes and black strings, JHEP 01 (2000) 021 [hep-th/9912135] [INSPIRE]. · DOI · Paper page
  15. R.M. Wald, Black hole entropy is the Noether charge, Phys. Rev. D 48 (1993) R3427 [gr-qc/9307038] [INSPIRE]. · DOI · Paper page
  16. S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from noncritical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109] [INSPIRE]. · DOI · Paper page
  17. E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150] [INSPIRE]. · DOI · Paper page
  18. S. de Haro, S.N. Solodukhin and K. Skenderis, Holographic reconstruction of space-time and renormalization in the AdS/CFT correspondence, Commun. Math. Phys. 217 (2001) 595 [hep-th/0002230] [INSPIRE]. · DOI · Paper page
  19. K. Skenderis, Lecture notes on holographic renormalization, Class. Quant. Grav. 19 (2002) 5849 [hep-th/0209067] [INSPIRE]. · DOI
  20. P. Kraus, F. Larsen and R. Siebelink, The gravitational action in asymptotically AdS and flat space-times, Nucl. Phys. B 563 (1999) 259 [hep-th/9906127] [INSPIRE]. · DOI · Paper page
  21. I. Papadimitriou and K. Skenderis, AdS/CFT correspondence and geometry, IRMA Lect. Math. Theor. Phys. 8 (2005) 73 [hep-th/0404176] [INSPIRE]. · DOI
  22. H.Z. Chen et al., Quantum Extremal Islands Made Easy, Part I: Entanglement on the Brane, JHEP 10 (2020) 166 [arXiv:2006.04851] [INSPIRE]. · DOI
  23. P. Bueno, R. Emparan and Q. Llorens, Higher-curvature gravities from braneworlds and the holographic c-theorem, Phys. Rev. D 106 (2022) 044012 [arXiv:2204.13421] [INSPIRE]. · DOI · Paper page
  24. A. Karch and L. Randall, Locally localized gravity, JHEP 05 (2001) 008 [hep-th/0011156] [INSPIRE]. · DOI · Paper page
  25. J. Garriga and T. Tanaka, Gravity in the brane world, Phys. Rev. Lett. 84 (2000) 2778 [hep-th/9911055] [INSPIRE]. · DOI · Paper page
  26. C. Charmousis, R. Gregory and V.A. Rubakov, Wave function of the radion in a brane world, Phys. Rev. D 62 (2000) 067505 [hep-th/9912160] [INSPIRE]. · DOI
  27. J.F. Plebanski and M. Demianski, Rotating, charged, and uniformly accelerating mass in general relativity, Annals Phys. 98 (1976) 98 [INSPIRE]. · DOI · Paper page
  28. D. Anninos and T. Hartman, Holography at an Extremal De Sitter Horizon, JHEP 03 (2010) 096 [arXiv:0910.4587] [INSPIRE]. · DOI
  29. S. Cremonini, J.T. Liu and P. Szepietowski, Higher Derivative Corrections to R-charged Black Holes: Boundary Counterterms and the Mass-Charge Relation, JHEP 03 (2010) 042 [arXiv:0910.5159] [INSPIRE]. · DOI · Paper page
  30. H. Kudoh and Y. Kurita, Thermodynamics of four-dimensional black objects in the warped compactification, Phys. Rev. D 70 (2004) 084029 [gr-qc/0406107] [INSPIRE]. · DOI · Paper page
  31. V. Balasubramanian, J. de Boer and D. Minic, Mass, entropy and holography in asymptotically de Sitter spaces, Phys. Rev. D 65 (2002) 123508 [hep-th/0110108] [INSPIRE]. · DOI
  32. B.P. Dolan, The definition of mass in asymptotically de Sitter space-times, Class. Quant. Grav. 36 (2019) 077001 [arXiv:1808.09081] [INSPIRE]. · DOI
  33. G.W. Gibbons and S.W. Hawking, Cosmological Event Horizons, Thermodynamics, and Particle Creation, Phys. Rev. D 15 (1977) 2738 [INSPIRE]. · DOI · Paper page
  34. I.S. Booth and R.B. Mann, Cosmological pair production of charged and rotating black holes, Nucl. Phys. B 539 (1999) 267 [gr-qc/9806056] [INSPIRE]. · DOI · Paper page
  35. S. Bhattacharya, Kerr-de Sitter spacetime, Penrose process and the generalized area theorem, Phys. Rev. D 97 (2018) 084049 [arXiv:1710.00997] [INSPIRE]. · DOI · Paper page
  36. J.M. Bardeen and G.T. Horowitz, The Extreme Kerr throat geometry: A Vacuum analog of AdS2 × S2, Phys. Rev. D 60 (1999) 104030 [hep-th/9905099] [INSPIRE]. · DOI
  37. T. Hartman, K. Murata, T. Nishioka and A. Strominger, CFT Duals for Extreme Black Holes, JHEP 04 (2009) 019 [arXiv:0811.4393] [INSPIRE]. · DOI
  38. H. Nariai, On a New Cosmological Solution of Einstein’s Field Equations of Gravitation, Gen. Rel. Grav. 31 (1999) 963. · DOI · Paper page
  39. P.H. Ginsparg and M.J. Perry, Semiclassical Perdurance of de Sitter Space, Nucl. Phys. B 222 (1983) 245 [INSPIRE]. · DOI
  40. V. Cardoso, O.J.C. Dias and J.P.S. Lemos, Nariai, Bertotti-Robinson and anti-Nariai solutions in higher dimensions, Phys. Rev. D 70 (2004) 024002 [hep-th/0401192] [INSPIRE]. · DOI
  41. Y. Nutku, Exact solutions of topologically massive gravity with a cosmological constant, Class. Quant. Grav. 10 (1993) 2657 [INSPIRE]. · DOI · Paper page
  42. D. Anninos, Sailing from Warped AdS3 to Warped dS3 in Topologically Massive Gravity, JHEP 02 (2010) 046 [arXiv:0906.1819] [INSPIRE]. · DOI · Paper page
  43. D. Anninos, S. de Buyl and S. Detournay, Holography For a De Sitter-Esque Geometry, JHEP 05 (2011) 003 [arXiv:1102.3178] [INSPIRE]. · DOI · Paper page
  44. M. Appels, R. Gregory and D. Kubiznak, Thermodynamics of Accelerating Black Holes, Phys. Rev. Lett. 117 (2016) 131303 [arXiv:1604.08812] [INSPIRE]. · DOI · Paper page
  45. B. Banihashemi and T. Jacobson, Thermodynamic ensembles with cosmological horizons, JHEP 07 (2022) 042 [arXiv:2204.05324] [INSPIRE]. · DOI
  46. B. Banihashemi, T. Jacobson, A. Svesko and M. Visser, The minus sign in the first law of de Sitter horizons, JHEP 01 (2023) 054 [arXiv:2208.11706] [INSPIRE]. · DOI
  47. A. Svesko, E. Verheijden, E.P. Verlinde and M.R. Visser, Quasi-local energy and microcanonical entropy in two-dimensional nearly de Sitter gravity, JHEP 08 (2022) 075 [arXiv:2203.00700] [INSPIRE]. · DOI · Paper page
  48. D. Anninos and E. Harris, Interpolating geometries and the stretched dS2 horizon, JHEP 11 (2022) 166 [arXiv:2209.06144] [INSPIRE]. · DOI
  49. A.M. Frassino, J.F. Pedraza, A. Svesko and M.R. Visser, Higher-Dimensional Origin of Extended Black Hole Thermodynamics, Phys. Rev. Lett. 130 (2023) 161501 [arXiv:2212.14055] [INSPIRE]. · DOI · Paper page
  50. D. Kastor, S. Ray and J. Traschen, Enthalpy and the Mechanics of AdS Black Holes, Class. Quant. Grav. 26 (2009) 195011 [arXiv:0904.2765] [INSPIRE]. · DOI · Paper page
  51. B.P. Dolan, The cosmological constant and the black hole equation of state, Class. Quant. Grav. 28 (2011) 125020 [arXiv:1008.5023] [INSPIRE]. · DOI · Paper page
  52. J.F. Pedraza, A. Svesko, W. Sybesma and M.R. Visser, Semi-classical thermodynamics of quantum extremal surfaces in Jackiw-Teitelboim gravity, JHEP 12 (2021) 134 [arXiv:2107.10358] [INSPIRE]. · DOI
  53. E.K. Morvan, J.P. van der Schaar and M.R. Visser, On the Euclidean action of de Sitter black holes and constrained instantons, SciPost Phys. 14 (2023) 022 [arXiv:2203.06155] [INSPIRE]. · DOI · Paper page
  54. P. Draper and S. Farkas, de Sitter black holes as constrained states in the Euclidean path integral, Phys. Rev. D 105 (2022) 126022 [arXiv:2203.02426] [INSPIRE]. · DOI · Paper page
  55. E.K. Morvan, J.P. van der Schaar and M.R. Visser, Action, entropy and pair creation rate of charged black holes in de Sitter space, arXiv:2212.12713 [INSPIRE]. · arXiv
  56. A. Chamblin, R. Emparan, C.V. Johnson and R.C. Myers, Charged AdS black holes and catastrophic holography, Phys. Rev. D 60 (1999) 064018 [hep-th/9902170] [INSPIRE]. · DOI · Paper page
  57. J.D. Bekenstein, Exact solutions of Einstein conformal scalar equations, Annals Phys. 82 (1974) 535 [INSPIRE]. · DOI
  58. J.D. Bekenstein, Black Holes with Scalar Charge, Annals Phys. 91 (1975) 75 [INSPIRE]. · DOI
  59. C. Charmousis, T. Kolyvaris and E. Papantonopoulos, Charged C-metric with conformally coupled scalar field, Class. Quant. Grav. 26 (2009) 175012 [arXiv:0906.5568] [INSPIRE]. · DOI
  60. A. Anabalon and H. Maeda, New Charged Black Holes with Conformal Scalar Hair, Phys. Rev. D 81 (2010) 041501 [arXiv:0907.0219] [INSPIRE]. · DOI
  61. M. Anber and L. Sorbo, New exact solutions on the Randall-Sundrum 2-brane: lumps of dark radiation and accelerated black holes, JHEP 07 (2008) 098 [arXiv:0803.2242] [INSPIRE]. · DOI
  62. N. Tanahashi and T. Tanaka, Black holes in braneworld models, Prog. Theor. Phys. Suppl. 189 (2011) 227 [arXiv:1105.2997] [INSPIRE]. · DOI · Paper page
  63. J. Podolsky and M. Ortaggio, Robinson-Trautman spacetimes in higher dimensions, Class. Quant. Grav. 23 (2006) 5785 [gr-qc/0605136] [INSPIRE]. · DOI
  64. R. Emparan et al., Holographic duals of evaporating black holes, JHEP 05 (2023) 182 [arXiv:2301.02587] [INSPIRE]. · DOI · Paper page
  65. J. Maldacena, G.J. Turiaci and Z. Yang, Two dimensional Nearly de Sitter gravity, JHEP 01 (2021) 139 [arXiv:1904.01911] [INSPIRE]. · DOI · Paper page
  66. A. Castro, F. Mariani and C. Toldo, Near-Extremal Limits of de Sitter Black Holes, arXiv:2212.14356 [INSPIRE]. · arXiv
  67. A. Karch and L. Randall, Open and closed string interpretation of SUSY CFT’s on branes with boundaries, JHEP 06 (2001) 063 [hep-th/0105132] [INSPIRE]. · DOI · Paper page
  68. T. Takayanagi, Holographic Dual of BCFT, Phys. Rev. Lett. 107 (2011) 101602 [arXiv:1105.5165] [INSPIRE]. · DOI · Paper page
  69. M. Fujita, T. Takayanagi and E. Tonni, Aspects of AdS/BCFT, JHEP 11 (2011) 043 [arXiv:1108.5152] [INSPIRE]. · DOI · Paper page
  70. M. Guica, T. Hartman, W. Song and A. Strominger, The Kerr/CFT Correspondence, Phys. Rev. D 80 (2009) 124008 [arXiv:0809.4266] [INSPIRE]. · DOI
  71. H. Lu, J. Mei and C.N. Pope, Kerr/CFT Correspondence in Diverse Dimensions, JHEP 04 (2009) 054 [arXiv:0811.2225] [INSPIRE]. · DOI
  72. R. Emparan, A.M. Frassino, M. Sasieta and M. Tomašević, Holographic complexity of quantum black holes, JHEP 02 (2022) 204 [arXiv:2112.04860] [INSPIRE]. · DOI · Paper page
  73. A. Reynolds and S.F. Ross, Complexity in de Sitter Space, Class. Quant. Grav. 34 (2017) 175013 [arXiv:1706.03788] [INSPIRE]. · DOI
  74. S. Chapman, D.A. Galante and E.D. Kramer, Holographic complexity and de Sitter space, JHEP 02 (2022) 198 [arXiv:2110.05522] [INSPIRE]. · DOI
  75. E. Jørstad, R.C. Myers and S.-M. Ruan, Holographic complexity in dSd+1, JHEP 05 (2022) 119 [arXiv:2202.10684] [INSPIRE]. · DOI
  76. J.F. Pedraza, A. Russo, A. Svesko and Z. Weller-Davies, Lorentzian Threads as Gatelines and Holographic Complexity, Phys. Rev. Lett. 127 (2021) 271602 [arXiv:2105.12735] [INSPIRE]. · DOI
  77. J.F. Pedraza, A. Russo, A. Svesko and Z. Weller-Davies, Sewing spacetime with Lorentzian threads: complexity and the emergence of time in quantum gravity, JHEP 02 (2022) 093 [arXiv:2106.12585] [INSPIRE]. · DOI
  78. J.F. Pedraza, A. Russo, A. Svesko and Z. Weller-Davies, Computing spacetime, Int. J. Mod. Phys. D 31 (2022) 2242010 [arXiv:2205.05705] [INSPIRE]. · DOI
  79. A. Al Balushi, R.A. Hennigar, H.K. Kunduri and R.B. Mann, Holographic Complexity and Thermodynamic Volume, Phys. Rev. Lett. 126 (2021) 101601 [arXiv:2008.09138] [INSPIRE]. · DOI
  80. H.Z. Chen et al., Quantum Extremal Islands Made Easy, Part II: Black Holes on the Brane, JHEP 12 (2020) 025 [arXiv:2010.00018] [INSPIRE]. · DOI · Paper page
  81. A. Almheiri, R. Mahajan and J.E. Santos, Entanglement islands in higher dimensions, SciPost Phys. 9 (2020) 001 [arXiv:1911.09666] [INSPIRE]. · DOI
  82. R. Bousso, A. Maloney and A. Strominger, Conformal vacua and entropy in de Sitter space, Phys. Rev. D 65 (2002) 104039 [hep-th/0112218] [INSPIRE]. · DOI
  83. M.-I. Park, Statistical entropy of three-dimensional Kerr-de Sitter space, Phys. Lett. B 440 (1998) 275 [hep-th/9806119] [INSPIRE]. · DOI
  84. A.R. Steif, The Quantum stress tensor in the three-dimensional black hole, Phys. Rev. D 49 (1994) 585 [gr-qc/9308032] [INSPIRE]. · DOI · Paper page
  85. M. Casals, A. Fabbri, C. Martínez and J. Zanelli, Quantum dress for a naked singularity, Phys. Lett. B 760 (2016) 244 [arXiv:1605.06078] [INSPIRE]. · DOI
  86. M. Casals, A. Fabbri, C. Martínez and J. Zanelli, Quantum-corrected rotating black holes and naked singularities in (2 + 1) dimensions, Phys. Rev. D 99 (2019) 104023 [arXiv:1902.01583] [INSPIRE]. · DOI · Paper page
  87. S.J. Avis, C.J. Isham and D. Storey, Quantum Field Theory in anti-De Sitter Space-Time, Phys. Rev. D 18 (1978) 3565 [INSPIRE]. · DOI
  88. G. Lifschytz and M. Ortiz, Scalar field quantization on the (2 + 1)-dimensional black hole background, Phys. Rev. D 49 (1994) 1929 [gr-qc/9310008] [INSPIRE]. · DOI · Paper page
  89. S.M. Christensen, Vacuum Expectation Value of the Stress Tensor in an Arbitrary Curved Background: The Covariant Point Separation Method, Phys. Rev. D 14 (1976) 2490 [INSPIRE]. · DOI
  90. T. Souradeep and V. Sahni, Quantum effects near a point mass in (2 + 1)-Dimensional gravity, Phys. Rev. D 46 (1992) 1616 [hep-ph/9208219] [INSPIRE]. · DOI · Paper page
  91. R. Herman and W.A. Hiscock, Renormalization of the charged scalar field in curved space, Phys. Rev. D 53 (1996) 3285 [gr-qc/9509015] [INSPIRE]. · DOI
  92. J.B. Griffiths, P. Krtous and J. Podolsky, Interpreting the C-metric, Class. Quant. Grav. 23 (2006) 6745 [gr-qc/0609056] [INSPIRE]. · DOI

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Authors
Panella, E., & Svesko, A.
Venue
Journal of High Energy Physics
Publisher
Springer Science and Business Media LLC
Published
2023-06-21
Volume
2023
Issue
6
ISSN
1029-8479
DOI
10.1007/jhep06(2023)127
Cited by
33
References
1
Language
en
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