Reissner-Nordström-de Sitter black hole, planar coordinates and dS/CFT

Journal of High Energy Physics

Volumn 8, Issue 1, 2004, Pages 777-805

  Astefanesei, Dumitru ^a,b   Mann, Robert B ^b,c   Radu, Eugen ^d  

^a MCGILL UNIVERSITY   (Canada)

^b PERIMETER INSTITUTE FOR THEORETICAL PHYSICS   (Canada)

^c UNIVERSITY OF WATERLOO   (Canada)

^d UNIVERSITY OF FREIBURG   (Germany)

Author keywords

AdS CFT and dS CFT Correspondence; Black Holes

Indexed keywords

EID: 23144442177     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2004/01/029     Document Type: Article

References (73)

1. SUPERNOVA COSMOLOGY PROJECT collaboration, S. Perlmutter et al., Discovery of a supernova explosion at half the age of the universe and its cosmological implications, Nature 391 (1998) 51 [astro-ph/9712212];
2. SUPERNOVA SEARCH TEAM collaboration, A.G. Riess et al., Observational evidence from supernovae for an accelerating universe and a cosmological constant, Astron. J. 116 (1998) 1009 [astro-ph/9805201].
3. J.D. Brown and J. York, James W., Quasilocal energy and conserved charges derived from the gravitational action, Phys. Rev. D 47 (1993) 1407.
4. J.D. Brown, J. Creighton and R.B. Mann, Temperature, energy and heat capacity of asymptotically anti-de Sitter black holes, Phys. Rev. D 50 (1994) 6394 [gr-qc/9405007].
5. I.S. Booth and R.B. Mann, Moving observers, non-orthogonal boundaries and quasilocal energy, Phys. Rev. D 59 (1999) 064021 [gr-qc/9810009].
6. V. Balasubramanian and P. Kraus, A stress tensor for anti-de Sitter gravity, Commun. Math. Phys. 208 (1999) 413 [hep-th/9902121].
7. R.B. Mann, Misner string entropy, Phys. Rev. D 60 (1999) 104047 [hep-th/9903229];
8. Entropy of rotating misner string spacetimes, Phys. Rev. D 61 (2000) 084013 [hep-th/9904148].
9. R. Emparan, C.V. Johnson and R.C. Myers, Surface terms as counter-terms in the AdS/CFT correspondence, Phys. Rev. D 60 (1999) 104001 [hep-th/9903238].
10. P. Kraus, F. Larsen and R. Siebelink, The gravitational action in asymptotically AdS and flat spacetimes, Nucl. Phys. B 563 (1999) 259 [hep-th/9906127].
11. M.H. Dehghani, Quasilocal thermodynamics of Kerr de Sitter spacetimes and the AdS/CFT correspondence, Phys. Rev. D 65 (2002) 104030 [hep-th/0201128].
12. J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [hep-th/9711200];
13. E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150];
14. S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from non-critical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109].
15. C.M. Hull, Timelike T-duality, de Sitter space, large-N gauge theories and topological field theory, J. High Energy Phys. 07 (1998) 021 [hep-th/9806146].
16. C.M. Hull, Duality and the signature of space-time, J. High Energy Phys. 11 (1998) 017 [hep-th/9807127].
17. V. Balasubramanian, P. Hořava and D. Minic, Deconstructing de Sitter, J. High Energy Phys. 05 (2001) 043 [hep-th/0103171].
18. E. Witten, Quantum gravity in de Sitter space, hep-th/0106109.
19. A. Strominger, The dS/CFT correspondence, J. High Energy Phys. 10 (2001) 034 [hep-th/0106113].
20. S.W. Hawking, G.F.R. Ellis, The large structure of space-time, chapter 5, Cambridge University Press, Cambridge 1973.
21. T. Banks, Cosmological breaking of supersymmetry or little lambda goes back to the future, II, hep-th/0007146.
22. 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].
23. A.M. Ghezelbash and R.B. Mann, Action, mass and entropy of schwarzschild-de Sitter black holes and the de Sitter/CFT correspondence, J. High Energy Phys. 01 (2002) 005 [hep-th/0111217].
24. M.H. Dehghani and H. KhajehAzad, Thermodynamics of Kerr-Newman-de Sitter black hole and dS/CFT correspondence, Can. J. Phys. 81 (2003) 1363 [hep-th/0209203].
25. A.M. Ghezelbash, D. Ida, R.B. Mann and T. Shiromizu, Slicing and brane dependence of the (A)dS/CFT correspondence, Phys. Lett. B 535 (2002) 315 [hep-th/0201004].
26. G.W. Gibbons and S.W. Hawking, Cosmological event horizons, thermodynamics and particle creation, Phys. Rev. D 15 (1977) 2738.
27. D. Klemm, Some aspects of the de Sitter/CFT correspondence, Nucl. Phys. B 625 (2002) 295 [hep-th/0106247].
28. U.H. Danielsson, A black hole hologram in de Sitter space, J. High Energy Phys. 03 (2002) 020 [hep-th/0110265].
29. T. Shiromizu, D. Ida and T. Torii, Gravitational energy, dS/CFT correspondence and cosmic no-hair, J. High Energy Phys. 11 (2001) 010 [hep-th/0109057].
30. 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].
31. D.R. Brill and S.A. Hayward, Global structure of a black hole cosmos and its extremes, Class. and Quant. Grav. 11 (1994) 359 [gr-qc/9304007].
32. D. Kastor and J. Traschen, Cosmological multi-black hole solutions, Phys. Rev. D 47 (1993) 5370 [hep-th/9212035].
33. R. Clarkson, A.M. Ghezelbash and R.B. Mann, Entropic N-bound and maximal mass conjectures violation in four dimensional Taub-Bolt(NUT)-dS spacetimes, Nucl. Phys. B 674 (2003) 329 [hep-th/0307059].
34. L.J. Romans, Supersymmetric, cold and lukewarm black holes in Cosmological Einstein-Maxwell theory, Nucl. Phys. B 383 (1992) 395 [hep-th/9203018].
35. R.B. Mann and S.F. Ross, Cosmological production of charged black hole pairs, Phys. Rev. D 52 (1995) 2254 [gr-qc/9504015].
36. R. Bousso, Quantum global structure of de Sitter space, Phys. Rev. D 60 (1999) 063503 [hep-th/9902183].
37. J.D.E. Creighton and R.B. Mann, Quasilocal thermodynamics of dilaton gravity coupled to gauge fields, Phys. Rev. D 52 (1995) 4569 [gr-qc/9505007].
38. R.C. Myers, Stress tensors and casimir energies in the AdS/CFT correspondence, Phys. Rev. D 60 (1999) 046002 [hep-th/9903203].
39. A.M. Awad and C.V. Johnson, Scale vs. conformal invariance in the AdS/CFT correspondence, Phys. Rev. D 62 (2000) 125010 [hep-th/0006037].
40. E. Verlinde, On the holographic principle in a radiation dominated universe, hep-th/0008140.
41. R.G. Cai, Cardy- Verlinde formula and thermodynamics of black holes in de-Sitter spaces, Nucl. Phys. B 628 (2002) 375 [hep-th/0112253].
42. E. Halyo, Universal counting of black hole entropy by strings on the stretched horizon, J. High Energy Phys. 12 (2001) 005 [hep-th/0108167].
43. A. J.M. Medved, A holographic interpretation of asymptotically de Sitter spacetimes, Class, and Quant. Grav. 19 (2002) 2883 [hep-th/0112226].
44. R. Bousso, Positive vacuum energy and the N-bound, J. High Energy Phys. 11 (2000) 038 [hep-th/0010252].
45. D. Rabat and G. Lifechytz, de Sitter entropy from conformal field theory, J. High Energy Phys. 04 (2002) 019 [hep-th/0203083].
46. L.A.J. London, Arbitrary dimensional cosmological multi-black holes, Nucl. Phys. B 434 (1995) 709.
47. T. Maki and K. Shiraishi, Multi-black hole solutions in cosmological Einstein-Maxwell dilaton theory, Class, and Quant. Grav. 10 (1993) 2171.
48. J.B. Hartle and S.W. Hawking, Solutions of Einstein-Maxwell equations with many black holes, Commun. Math. Phys. 26 (1972) 87.
49. D.R. Brill, G.T. Horowitz, D. Kastor and J. Traschen, Testing cosmic censorship with black hole collisions, Phys. Rev. D 49 (1994) 840 [gr-qc/9307014].
50. D.R. Brill, Aspects of analyticity, gr-qc/9507019.
51. V. Balasubramanian and P. Kraus, Spacetime and the holographic renormalization group, Phys. Rev. Lett. 83 (1999) 3605 [hep-th/9903190].
52. D.Z. Freedman, S.S. Gubser, K. Pilch and N.P. Warner, Renormalization group flows from holography supersymmetry and a c-theorem, Adv. Theor. Math. Phys. 3 (1999) 363 [hep-th/9904017].
53. S. Nojiri, S.D. Odintsov and S. Ogushi, Friedmann-Robertson- Walker brane cosmological equations from the five-dimensional bulk (A)dS black hole, Int. J. Mod. Phys. A 17 (2002) 4809 [hep-th/0205187].
54. A. Strominger, Inflation and the dS/CFT correspondence, J. High Energy Phys. 11 (2001) 049 [hep-th/0110087].
55. F. Leblond, D. Marolf and R.C. Myers, Tall tales from de Sitter space, I. Renormalization group flows, J. High Energy Phys. 06 (2002) 052 [hep-th/0202094].
56. K.R. Kristjansson and L. Thorlacius, Cosmological models and renormalization group flow, J. High Energy Phys. 05 (2002) 011 [hep-th/0204058].
57. S. Nojiri and S.D. Odintsov, Conformal anomaly from dS/CFT correspondence, Phys. Lett. B 519 (2001) 145 [hep-th/0106191];
58. Asymptotically de Sitter dilatonic space-time, holographic RG flow and conformal anomaly from (dilatonic) dS/CFT correspondence, Phys. Lett. B 531 (2002) 143 [hep-th/0201210].
59. V. Balasubramanian and S.F. Ross, The dual of nothing, Phys. Rev. D 66 (2002) 086002 [hep-th/0205290].
60. A.M. Ghezelbash and R.B. Mann, Tests of the AdS/CFT correspondence in time-dependent settings, hep-th/0210046.
61. R.G. Cai, Constant curvature black hole and dual field theory, Phys. Lett. B 544 (2002) 176 [hep-th/0206223].
62. A.M. Ghezelbash and R.B. Mann, Nutty bubbles, J. High Energy Phys. 09 (2002) 045 [hep-th/0207123].
63. D. Birmingham and M. Rinaldi, Bubbles in anti-de Sitter space, Phys. Lett. B 544 (2002) 316 [hep-th/0205246].
64. O. Aharony, M. Fabinger, G.T. Horowitz and E. Silverstein, Clean time-dependent string backgrounds from bubble baths, J. High Energy Phys. 07 (2002) 007 [hep-th/0204158].
65. G. Contopoulos, Periodic orbits and chaos around two black holes, Proc. Roy. Soc. London A431 (1990) 183.
66. F. Leblond, D. Marolf and R.C. Myers, Tall tales from de Sitter space, II. Field theory dualities, J. High Energy Phys. 01 (2003) 003 [hep-th/0211025].
67. V. Balasubramanian, J. de Boer and D. Minic, Exploring de Sitter space and holography, Class, and Quant. Grav. 19 (2002) 5655 [hep-th/0207245].
68. R.G. Cai, Y.S. Myung and Y.Z. Zhang, Check of the mass bound conjecture in de Sitter space, Phys. Rev. D 65 (2002) 084019 [hep-th/0110234].
69. R. Clarkson, A.M. Ghezelbash and R.B. Mann, Mass, action and entropy of Taub-Bolt-dS spacetimes, Phys. Rev. Lett. 91 (2003) 061301 [hep-th/0304097].
70. R. Bousso, O. DeWolfe and R.C. Myers, Unbounded entropy in spacetimes with positive cosmological constant, Found. Phys. 33 (2003) 297-321 [hep-th/0205080].
71. M.R. Setare, The Cardy- Verlinde formula and entropy of topological Reissner-Nordstroem black holes in de Sitter spaces, Mod. Phys. Lett. A 17 (2002) 2089 [hep-th/0210187];
72. M.R. Setare and M.B. Altaic, The Cardy- Verlinde formula and entropy of topological Kerr-Newman black holes in de Sitter spaces, hep-th/0304072.
73. L. Dyson, J. Lindesay and L. Susskind, Is there really a de Sitter/CFT duality, J. High Energy Phys. 08 (2002) 045 [hep-th/0202163].