Covariant counter-terms and conserved charges in asymptotically flat spacetimes

Classical and Quantum Gravity

Volumn 23, Issue 22, 2006, Pages

  Mann, Robert B ^a,b   Marolf, Donald ^c   Virmani, Amitabh ^c  

^a UNIVERSITY OF WATERLOO   (Canada)

^b PERIMETER INSTITUTE FOR THEORETICAL PHYSICS   (Canada)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33846166463     PISSN: 02649381     EISSN: 13616382     Source Type: Journal    
DOI: 10.1088/0264-9381/23/22/017     Document Type: Article

References (39)

1. Arnowitt R, Deser S and Misner C W 1961 Nuovo Cimento 19 668
2. Arnowitt R, Deser S and Misner C W 1960 J. Math. Phys. 1 434
3. Arnowitt R, Deser S and Misner C W 2004 The dynamics of general relativity Preprint gr-qc/0405109
4. Regge T and Teitelboim C 1974 Role of surface integrals in the Hamiltonian formulation of general relativity Ann. Phys. 88 286
5. Ashtekar A and Hansen R O 1978 A unified treatment of null and spatial infinity in general relativity: I. Universal structure, asymptotic symmetries, and conserved quantities at spatial infinity J. Math. Phys. 19 1542
6. Ashtekar A 1980 Asymptotic structure of the gravitational field at spatial infinity General Relativity and Gravitation: One Hundred Years After the Birth of Albert Einstein ed A Held (New York: Plenum)
7. Abbott L F and Deser S 1982 Stability of gravity with a cosmological constant Nucl. Phys. B 195 76
8. Sorkin R D 1988 Conserved quantities as action variations Mathematics and General Relativity (AMS's Contemporary Mathematics Series vol 71) ed J W Isenberg (Proceedings of a Conference, Santa Cruz, CA, June 1986) (Providence, RI American Mathematical Society) pp 23-37
9. Ashtekar A and Romano J D 1992 Spatial infinity as a boundary of space-time Class. Quantum Grav. 9 1069
10. Hawking S W and Horowitz G T 1996 The gravitational Hamiltonian, action, entropy and surface terms Class. Quantum Grav. 13 1487 (Preprint gr-qc/9501014)
11. Deser S and Tekin B 2003 Energy in generic higher curvature gravity theories Phys. Rev. D 67 084009 (Preprint hep-th/0212292)
12. Deser S and Tekin B 2002 Gravitational energy in quadratic curvature gravities Phys. Rev. Lett. 89 101101 (Preprint hep-th/0205318)
13. Mann R B 2003 Expanding the area of gravitational entropy Found. Phys. 33 65 (Preprint gr-qc/0211047)
14. Ashtekar A, Fairhurst S and Krishnan B 2000 Isolated horizons: Hamiltonian evolution and the first law Phys. Rev. D 62 104025 (Preprint gr-qc/0005083)
15. Ashtekar A, Beetle C and Lewandowski J 2001 Mechanics of rotating isolated horizons Phys. Rev. D 64 044016 (Preprint gr-qc/0103026)
16. Mann R B and Marolf D 2006 Holographic renormalization of asymptotically flat spacetimes Class. Quantum Grav. 23 2927 (Preprint hep-th/0511096)
17. Mann R B 1999 Misner string entropy Phys. Rev. D 60 104047 (Preprint hep-th/9903229)
18. Kraus P, Larsen F and Siebelink R 1999 The gravitational action in asymptotically AdS and flat spacetimes Nucl. Phys. B 563 259 (Preprint hep-th/9906127)
19. Hollands S, Ishibashi A and Marolf D 2005 Counter-term charges generate bulk symmetries Phys. Rev. D 72 104025 (Preprint hep-th/0503105)
20. Peierls R E 1952 The commutation laws of relativistic field theory Proc. R. Soc. Lond. 214 143-57
21. Brown J D and York J W 1993 Quasilocal energy and conserved charges derived from the gravitational action Phys. Rev. D 47 1407
22. Henningson M and Skenderis K 1998 The holographic Weyl anomaly J. High Energy Phys. JHEP 07(1998)023 (Preprint hep-th/9806087)
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. Hollands S, Ishibashi A and Marolf D 2005 Comparison between various notions of conserved charges in asymptotically AdS-spacetimes Class. Quantum Grav. 22 2881 (Preprint hep-th/0503045)
25. Papadimitriou I and Skenderis K 2005 Thermodynamics of asymptotically locally AdS spacetimes J. High Energy Phys. JHEP08(2005)004 (Preprint hep-th/0505190)
26. Ashtekar A and Varadarajan M 1994 A striking property of the gravitational Hamiltonian Phys. Rev. D 50 4944 (Preprint gr-qc/9406040)
27. Marolf D and Patino L 2006 The non-zero energy of 2+1 Minkowski space Phys. Rev. D 74 024009 (Preprint hep-th/0604127)
28. Beig R and Schmidt B 1982 Einstein's equations near spatial infinity Commun. Math. Phys. 87 65
29. Beig R 1984 Integration of Einstein's equations near spatial infinity Proc. R. Soc. A 391 2222
30. Wald R M 1984 General Relativity (Chicago, IL: University of Chicago Press)
31. Brown J D, Creighton J and Mann R B 1994 Temperature, energy and heat capacity of asymptotically anti-de Sitter black holes Phys. Rev. D 50 6394 (Preprint gr-qc/9405007)
32. Astefanesei D and Radu E 2006 Quasilocal formalism and black ring thermodynamics Phys. Rev. D 73 044014 (Preprint hep-th/0509144)
33. Mann R B and Stelea C 2006 On the gravitational energy of the Kaluza Klein monopole Phys. Lett. B 634 531 (Preprint hep-th/0511180)
34. 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)
35. 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)
36. Ashtekar A and Magnon-Ashtekar A 1979 Energy-momentum in general relativity Phys. Rev. Lett. 43 181-4
37. Ashtekar A and Magnon-Ashtekar A 1979 Phys. Rev. Lett. 43 649 (erratum)
38. 0 to the 3 + 1 description of spatial infinity J. Math. Phys. 25 2682
39. Ashtekar A 1985 Logarithmic ambiguities in the description of spatial infinity Found. Phys. 15 419