Comparison between various notions of conserved charges in asymptotically AdS spacetimes

Classical and Quantum Gravity

Volumn 22, Issue 14, 2005, Pages 2881-2920

  Hollands, Stefan ^a,b   Ishibashi, Akihiro ^c   Marolf, Donald ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF GÖTTINGEN   (Germany)

^c UNIVERSITY OF CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 22544444951     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/22/14/004     Document Type: Article

References (62)

1. Maldacena J M 1998 The large N limit of superconformal field theories and supergravity Adv. Theor. Math. Phys. 2 231
2. Maldacena J M 1999 Int. J. Theor. Phys. 38 1113 (Preprint hep-th/9711200)
3. Gubser S S, Klebanov I R and Polyakov A M 1998 Gauge theory correlators from non-critical string theory Phys. Lett. B 428 105 (Preprint hep-th/9802109)
4. Witten E 1998 Anti-de sitter space and holography Adv. Theor. Math. Phys. 2 253 (Preprint hep-th/9802150)
5. Aharony O, Gubser S S, Maldacena J M, Ooguri H and Oz Y 2000 Large N field theories, string theory and gravity Phys. Rep. 323 183 (Preprint hep-th/9905111)
6. Ashtekar A and Magnon A 1984 Asymptotically anti-de sitter space-times Class. Quantum Grav. 1 L39
7. Ashtekar A and Das S 2000 Asymptotically anti-de sitter space-times: conserved quantities Class. Quantum Grav. 17 L17 (Preprint hep-th/9911230)
8. Henneaux M and Teitelboim C 1985 Asymptotically anti-de sitter spaces Commun. Math. Phys. 98 391
9. Abbott L F and Deser S 1982 Stability of gravity with a cosmological constant Nucl. Phys. B 195 76
10. Katz J, Bicak J and Lynden-Bell D 1997 Relativistic conservation laws and integral constraints for large cosmological perturbations Phys. Rev. D 55 5957
11. Deruelle N and Katz J 2005 On the mass of a Kerr-anti-de Sitter spacetime in D dimensions Class. Quantum Grav. 22 421 (Preprint gr-qc/0410135)
12. Gibbons G W, Hawking S W, Horowitz G T and Perry M J 1983 Positive mass theorems for black holes Commun. Math. Phys. 88 295
13. Gibbons G W, Hull C M and Warner N P 1983 The stability of gauged supergravity Nucl. Phys. B 218 173
14. Witten E 1981 A simple proof of the positive energy theorem Commun. Math. Phys. 80 381
15. Henningson M and Skenderis K 1998 The holographic Weyl anomaly J. High Energy Phys. JHEP07(1998)023 (Preprint hep-th/9806087)
16. Balasubramanian V and Kraus P 1999 A stress tensor for anti-de Sitter gravity Commun. Math. Phys. 208 413 (Preprint hep-th/9902121)
17. Skenderis K and Solodukhin S N 2000 Quantum effective action from the adS/CFT correspondence Phys. Lett. B 472 316 (Preprint hep-th/9910023)
18. Bianchi M, Freedman D Z and Skenderis K 2001 How to go with an RG flow J. High Energy Phys. JHEP08(2001)041 (Preprint hep-th/0105276)
19. de Haro S, Skenderis K and Solodukhin S N 2001 Gravity in warped compactifications and the holographic stress tensor Class. Quantum Grav. 18 3171 (Preprint hep-th/0011230)
20. Skenderis K 2002 Lecture notes on holographic renormalization Class. Quantum Grav. 19 5849 (Preprint hep-th/0209067)
21. de Haro S, Solodukhin S N and Skenderis K 2001 Holographic reconstruction of spacetime and renormalization in the adS/CFT correspondence Commun. Math. Phys. 217 595 (Preprint hep-th/0002230)
22. Skenderis K 2001 Asymptotically anti-de Sitter spacetimes and their stress energy tensor Int. J. Mod. Phys. A 16 740 (Preprint hep-th/0010138)
23. Bianchi M, Freedman D Z and Skenderis K 2002 Holographic renormalization Nucl. Phys. B 631 159 (Preprint hep-th/0112119)
24. Papadimitriou I and Skenderis K 2004 AdS/CFT correspondence and geometry Preprint hep-th/0404176
25. Wald R M and Zoupas A 2000 A general definition of conserved quantities in general relativity and other theories of gravity Phys. Rev. D 61 084027 (Preprint gr-qc/9911095)
26. Iyer V and Wald R M 1994 Some properties of Noether charge and a proposal for dynamical black hole entropy Phys. Rev. D 50 846 (Preprint gr-qc/9403028)
27. Ashtekar A, Bombelli L and Reula O 1991 The covariant phase space of asymptotically flat gravitational fields Analysis, Geometry and Mechanics: 200 Years After Lagrange ed M Francaviglia and D Holm (Amsterdam: North-Holland)
28. Penrose R 1964 Conformal treatment of infinity Relativity, Groups, and Topology ed C DeWitt and B DeWitt (New York: Gordon and Breach)
29. Davis S 1986 Definition of conserved quantities in asymptotically anti-de Sitter space-times Phys. Lett. B 166 127
30. Deser S and Tekin B 2003 Energy in generic higher curvature gravity theories Phys. Rev. D 67 084009 (Preprint hep-th/0212292)
31. Deser S and Tekin B 2002 Gravitational energy in quadratic curvature gravities Phys. Rev. Lett. 89 101101 (Preprint hep-th/0205318)
32. Okuyama N and Koga J 2005 Asymptotically anti-de Sitter spacetimes and conserved quantities in higher curvature gravitational theories Preprint hep-th/0501044
33. Breitenlohner P and Freedman D Z 1982 Stability in gauged extended supergravity Ann. Phys. 144 249
34. Ashtekar A, Wisniewski J and Dreyer O 2003 Isolated horizons in 2+1 gravity Adv. Theor. Math. Phys. 6 507 (Preprint gr-qc/0206024)
35. Brown J D and Henneaux M 1986 Central charges in the canonical realization of asymptotic symmetries: an example from three-dimensional gravity Commun. Math. Phys. 104 207
36. Hollands S, Ishibashi A and Marolf D 2005 Counter-term charges generate bulk symmetries Preprint hep-th/0503105
37. Hollands S and Ishibashi A 2005 Asymptotic flatness and bondi energy in higher dimensional gravity J. Math. Phys. 46 022503 (Preprint gr-qc/0304054)
38. Fefferman C and Graham C R 1985 Conformal invariants Elie Cartan et les Mathematiques d'Aujourdhui, Asterisque(Numero Hors Serie) (Paris: Soc. Math. France) pp 95-116
39. Anderson M T 2004 Geometric aspects of the AdS/CFT correspondence Preprint hep-th/0403087
40. Gunaydin M and Marcus N 1985 The spectrum of the s**5 compactification of the chiral n ≤ 2, D ≤ 10 supergravity and the unitary supermultiplets of u(2, 2/4) Class. Quantum Grav. 2 L11
41. Kim H J, Romans L J and van Nieuwenhuizen P 1985 The mass spectrum of chiral n ≤ 2, D ≤ 10 supergravity on s**5 Phys. Rev. D 32 389
42. Gunaydin M, van Nieuwenhuizen P and Warner N P 1985 General construction of the unitary representations of anti-de Sitter superalgebras and the spectrum of the s**4 compactification of eleven-dimensional supergravity Nucl. Phys. B 255 63
43. Cai R G and Ohta N 2000 Surface counterterms and boundary stress-energy tensors for asymptotically non-anti-de Sitter spaces Phys. Rev. D 62 024006 (Preprint hep-th/9912013)
44. Ishibashi A and Wald R M 2004 Dynamics in non-globally hyperbolic static spacetimes: III. Anti-de Sitter spacetime Class. Quantum Grav. 21 2981 (Preprint hep-th/0402184)
45. Henneaux M, Martinez C, Troncoso R and Zanelli J 2004 Asymptotically anti-de Sitter spacetimes and scalar fields with a logarithmic branch Phys. Rev. D 70 044034 (Preprint hep-th/0404236)
46. Hertog T and Maeda K 2004 Black holes with scalar hair and asymptotics in N ≤ 8 supergravity J. High Energy Phys. JHEP07(2004)051 (Preprint hep-th/0404261)
47. Hertog T, Horowitz G T and Maeda K 2003 Update on cosmic censorship violation in AdS Preprint gr-qc/0310054
48. Liu J T and Sabra W A 2004 Mass in anti-de Sitter spaces Preprint hep-th/0405171
49. Mora P, Olea R, Troncoso R and Zanelli J 2004 Vacuum energy in odd-dimensional AdS gravity Preprint hep-th/0412046
50. Hertog T and Horowitz G T 2004 Towards a big crunch dual J. High Energy Phys. JHEP07(2004)073 (Preprint hep-th/0406134)
51. 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
52. Hertog T and Maeda K 2005 Stability and thermodynamics of adS black holes with scalar hair Phys. Rev. D 71 024001 (Preprint hep-th/0409314)
53. Gutowski J B and Reall H S 2004 General supersymmetric adS5 black holes J. High Energy Phys. JHEP04(2004)048 (Preprint hep-th/0401129)
54. Gibbons G W, Perry M J and Pope C N 2004 The first law of thermodynamics for Kerr-anti-de Sitter black holes Preprint hep-th/0408217
55. Radu E and Tchrakian D H 2005 New hairy black hole solutions with a dilaton potential Class. Quantum Grav. 22 879 (Preprint hep-th/0410154)
56. Klebanov I R and Witten E 1999 AdS/CFT correspondence and symmetry breaking Nucl. Phys. B 556 89 (Preprint hep-th/9905104)
57. Minces P 2004 Bound states in the adS/CFT correspondence Phys. Rev. D 70 025011 (Preprint hep-th/0402161)
58. Sever A and Shomer A 2002 A note on multi-trace deformations and adS/CFT J. High Energy Phys. JHEP07(2002)027 (Preprint hep-th/0203168)
59. Marolf D 2004 States and boundary terms: subtleties of Lorentzian AdS/CFT Preprint hep-th/0412032
60. Townsend P K 1984 Positive energy and the scalar potential in higher dimensional (super)gravity theories Phys. Lett. B 148 55
61. Boucher W 1984 Positive energy without supersymmetry Nucl. Phys. B 242 282
62. Kodama H, Ishibashi A and Seto O 2000 Brane world cosmology: gauge-invariant formalism for perturbation Phys. Rev. D 62 064022 (Preprint hep-th/0004160)