The first law of thermodynamics for Kerr-anti-de Sitter black holes

Classical and Quantum Gravity

Volumn 22, Issue 9, 2005, Pages 1503-1526

  Gibbons, G W ^a   Perry, M J ^a   Pope, C N ^b  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b TEXAS A AND M UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 24144473676     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/22/9/002     Document Type: Article

References (32)

1. Hawking S W, Hunter C J and Taylor-Robinson M M 1999 Rotation and the AdS/CFT correspondence Phys. Rev. D 59 064005 (Preprint hep-th/9811056)
2. Gibbons G W, Lü H, Page D N and Pope C N 2005 The general Kerr-de Sitter metrics in all dimensions J. Geom. Phys. 53 49 (Preprint hep-th/0404008)
3. Cvetič M, Lü H and Pope C N 2004 Charged Kerr-de Sitter black holes in five dimensions Phys. Lett. B 598 273 (Preprint hep-th/0406196)
4. 3 gauged N = 2 supergravity Phys. Rev. D 70 081502 (Preprint hep-th/0407058)
5. Eddington A S 1928 The Nature of the Physical World (Cambridge: Cambridge University Press)
6. Christodoulou D 1970 Phys. Rev. Lett. 25 1596
7. Christodoulou D and Ruffini R 1971 Phys. Rev. D 2552
8. Bardeen J M, Carter B and Hawking S W 1973 The four laws of black hole mechanics Commun. Math. Phys. 31 161
9. Gibbons G W and Hawking S W 1977 Action integrals and partition functions in quantum gravity Phys. Rev. D 15 2752
10. Magnon A 1985 On Komar integrals in asymptotically de Sitter spacetimes J. Math. Phys. 26 3112
11. Carter B 1968 Hamilton-Jacobi and Schrödinger separable solutions of Einstein's equations Commun. Math. Phys. 10 280
12. Henneaux M and Teitelboim C 1985 Asymptotically anti-de Sitter spaces Commun. Math. Phys. 98 391
13. Abbott L F and Deser S 1982 Stability of gravity with a cosmological constant Nucl. Phys. B 195 76
14. Ashtekar A and Magnon A 1984 Asymptotically anti-de Sitter space-times Class. Quantum Grav. 1 L39
15. Kostelecky V A and Perry M J 1996 Solitonic black holes in gauged N = 2 supergravity Phys. Lett. B 371 191 (Preprint hep-th/9512222)
16. Brown J D and York J W 1993 Quasilocal energy and conserved charges derived from the gravitational action Phys. Rev. D 47 1407
17. Caldarelli M M, Cognola G and Klemm D 2000 Thermodynamics of Kerr-Newman-AdS black holes and conformal field theories Class. Quantum Grav. 17 399 (Preprint hep-th/9908022)
18. Silva S 2002 Black hole entropy and thermodynamics from symmetries Class. Quantum Grav. 19 3947 (Preprint hep-th/0204179)
19. Rasheed D A 1997 Non-linear electrodynamics: zeroth and first laws of black hole mechanics Preprint hep-th/9702087
20. Berman D and Parikh M K 1999 Holography and rotating AdS black holes Phys. Lett. B 463 168 (Preprint hep-th/9907003)
21. Hawking S W and Reall H 2000 Charged and rotating AdS black holes and their CFT duals Phys. Rev. D 61 024014 (Preprint hep-th/9908109)
22. Awad A M and Johnson C V 2001 Higher dimensional Kerr-AdS black holes and the AdS/CFT correspondence Phys. Rev. D 63 124023 (Preprint hep-th/0008211)
23. Balasubramanian V and Kraus P 1999 A stress tensor for anti-de Sitter gravity Commun. Math. Phys. 208 413 (Preprint hep-th/9902121)
24. Tolman R C 1930 On the weight of heat and thermal equalibrium in general relativity Phys. Rev. 35 904
25. Skenderis K 2001 Asymptotically anti-de Sitter spacetimes and their stress energy tensor Int. J. Mod. Phys. A 16 740 (Preprint hep-th/0010138)
26. Ashtekar A and Das S 2000 Asymptotically anti-de Sitter space-times: conserved quantities Class. Quantum Grav. 17 L17 (Preprint hep-th/9911230)
27. Batrachenko A, Liu J T, McNees R, Sabra W A and Wen W Y 2004 Black hole mass and Hamilton-Jacobi counterterms (Preprint hep-th/0408205)
28. Das S and Mann R B 2000 Conserved quantities in Kerr-anti-de Sitter spacetimes in various dimensions J. High Energy Phys. JHEP08(2000)033 (Preprint hep-th/0008028)
29. Landsteiner K and Lopez E 1999 The thermodynamic potentials of Kerr-AdS black holes and their CFT duals J. High Energy Phys. JHEP12(1999)020 (Preprint hep-th/9911124)
30. Deruelle N and Katz J 2005 On the mass of a Kerr-anti-de Sitter spacetime in D dimensions Class. Quantum Grav. 22 421-4 (Preprint gr-qc/0410135)
31. Katz J 1985 A note on Komar's anomalous factor Class. Quantum Grav. 2 423
32. Katz J, Bičák J and Lynden-Bell D 1997 Relativistic conservation laws and integral constraints for large cosmological perturbations Phys. Rev. D 55 5759