Positive Mass from Holographic Causality

Physical Review Letters

Volumn 89, Issue 12, 2002, Pages

  Page, Don N ^a   Surya, Sumati ^a   Woolgar, Eric ^a  

^a UNIVERSITY OF ALBERTA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; COMPUTATIONAL METHODS; PARAMETER ESTIMATION; SOLITONS;

HOLOGRAPHIC CAUSALITY;

HOLOGRAPHY;

EID: 0037120502     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.89.121301     Document Type: Article

References (44)

1. R. Schoen and S.T. Yau, Commun. Math. Phys. 65, 45 (1979).
2. E. Witten, Commun. Math. Phys. 80, 381 (1981).
3. R. Geroch, Ann. N.Y. Acad. Sci.ANYAA9 224, 108 (1973).
4. G. Huisken and T. Ilmanen, Int. Math. Res. Notices 20, 1045 (1997).
5. R. Penrose, R.D. Sorkin, and E. Woolgar, gr-qc/9301015.
6. L.F. Abbott and S. Deser, Nucl. Phys. B195, 76 (1982);
7. L. Andersson and M. Dahl, dg-ga/9707017;
8. P.T. Chruściel and M. Herzlich, math-DG/0110035.
9. E. Woolgar, Classical Quantum Gravity 11, 1881 (1994). An error in the statement of the theorem was corrected by P.T. Chruściel in Math. Rev.
10. G. ’t Hooft, in Salamfest, edited A. Ali, J. Ellis, and S. Randjbar-Daemi (World Scientific, Singapore, 1994);
11. L. Susskind, J. Math. Phys. (N.Y.)10.1063/1.531249 36, 6377 (1995);
12. D. Bigatti and L. Susskind, in Strings, Branes and Gravity: Proceedings, Theoretical Advanced Study Institute, Boulder, 1999, edited by J. Harvey, S. Kachru, and E. Silverstein (World Scientific, River Edge, 2001);
13. R. Bousso, hep-th/0203101 [Rev. Mod. Phys. (to be published)].
14. J. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998);
15. S.S. Gubser, I.R. Klebanov, and A.M. Polyakov, Phys. Lett. B10.1016/S0370-2693(98)00377-3 428, 105 (1998);
16. E. Witten, Adv. Theor. Math. Phys. 2, 253 (1998);
17. O. Aharony, S.S. Gubser, J. Maldacena, H. Ooguri, and Y. Oz, Phys. Rep.10.1016/S0370-1573(99)00083-6 323, 183 (2000).
18. G.T. Horowitz and N. Itzhaki, J. High Energy Phys. 9902, 010 (1999).
19. D. Kabat and G. Lifschytz, J. High Energy Phys. 9905, 005 (1999);
20. D. Bak and S.J. Rey, Nucl. Phys. B572, 151 (2000);
21. S.B. Giddings, Phys. Rev. Lett.10.1103/PhysRevLett.83.2707 83, 2707 (1999);
22. J. Polchinski, L. Susskind, and N. Toumbas, Phys. Rev. D10.1103/PhysRevD.60.084006 60, 084006 (1999);
23. L. Susskind and N. Toumbas, Phys. Rev. D10.1103/PhysRevD.61.044001 61, 044001 (2000);
24. J. Louko, D. Marolf, and S. F. Ross, Phys. Rev. D10.1103/PhysRevD.62.044041 62, 044041 (2000);
25. S.B. Giddings and M. Lippert, Phys. Rev. D10.1103/PhysRevD.65.024006 65, 024006 (2002).
26. M. Kleban, J. McGreevy, and S. Thomas, hep-th/0112229.
27. V. Balasubramanian, P. Kraus, A.E. Lawrence, and S.P. Trivedi, Phys. Rev. D10.1103/PhysRevD.59.104021 59, 104021 (1999).
28. A. Ashtekar and A. Magnon, Classical Quantum Gravity 1, L39 (1984).
29. A. Ashtekar and S. Das, Classical Quantum Gravity 17, L17 (2000).
30. M. Henneaux and C. Teitelboim, Commun. Math. Phys. 98, 391 (1985)
31. C. Fefferman and C.R. Graham, Astérisque, hors série 95 (1985); C.R. Graham, in Proceedings of the 19th Winter School in Geometry and Physics, Srni, Czech Republic, 1999 (to be published);
32. M. Henningson and K. Skenderis, J. High Energy Phys. 9807, 023 (1998).
33. S.W. Hawking and G.F.R. Ellis, The Large Scale Structure of Spacetime, Cambridge Monographs on Mathematical Physics (Cambridge University Press, Cambridge, U.K., 1973);
34. F.J. Tipler, J. Diff. Equ. 30, 165 (1978);
35. F.J. TiplerPhys. Rev. D10.1103/PhysRevD.17.2521 17, 2521 (1978);
36. A. Borde, Classical Quantum Gravity 4, 343 (1987).
37. S. Gao and R.M. Wald, Classical Quantum Gravity 17, 4999 (2000).
38. V. Balasubramanian and P. Kraus, Phys. Rev. Lett.10.1103/PhysRevLett.83.3605 83, 3605 (1999).
39. G.T. Horowitz and R.C. Myers, Phys. Rev. D 59, 026005 (1999).
40. D. Birmingham, Classical Quantum Gravity 16, 1197 (1999);
41. R. Emparan, C.V. Johnson, and R.C. Myers, Phys. Rev. D10.1103/PhysRevD.60.104001 60, 104001 (1999);
42. S. Surya, K. Schleich, and D.M. Witt, Phys. Rev. Lett.10.1103/PhysRevLett.86.5231 86, 5231 (2001).
43. For a review see R.B. Mann, Ann. Isr. Phys. Soc. 13, 311 (1998).
44. G.J. Galloway, S. Surya, and E. Woolgar, Phys. Rev. Lett.10.1103/PhysRevLett.88.101102 88, 101102 (2002).