Gravitational instability in higher dimensions

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 66, Issue 6, 2002, Pages

  Gibbons, Gary ^a   Hartnoll, Sean A ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; COSMOS; GRAVITY; MATHEMATICAL ANALYSIS; QUANTUM THEORY; SPACE; TIME;

EID: 18344403130     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.66.064024     Document Type: Article

References (45)

1. S. Dimopoulos and G. Landsberg, Phys. Rev. Lett. 87, 161602 (2001).
2. S.B. Giddings and S. Thomas, Phys. Rev. D 65, 056010 (2002).
3. J. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998).
4. O. Aharony, S.S. Gubser, J. Maldacena, H. Ooguri, and Y. Oz, Phys. Rep. 323, 183 (2000).
5. G.W. Gibbons, D. Ida, and T. Shiromizu, “Uniqueness and non-uniqueness of static vacuum black holes in higher dimensions,” gr-qc/0203004.
6. G.W. Gibbons, D. Ida, and T. Shiromizu, Phys. Rev. Lett. 89, 041101 (2002).
7. C. Bohm, Invent. Math. 134, 145 (1998).
8. T. Regge and J.A. Wheeler, Phys. Rev. 108, 1063 (1957).
9. C.V. Vishveshwara, Phys. Rev. D 1, 2870 (1970).
10. F.J. Zerilli, Phys. Rev. Lett. 24, 737 (1970).
11. R.M. Wald, J. Math. Phys. 20, 1056 (1979).
12. A. Higuchi, J. Math. Phys. 28, 1553 (1987).
13. F.R. Tangherlini, Nuovo Cimento 27, 365 (1963).
14. L. Vanzo, Phys. Rev. D 56, 6475 (1997).
15. D. Birmingham, Class. Quantum Grav. 16, 1197 (1999).
16. R.B. Mann, Class. Quantum Grav. 14, L109 (1997).
17. L. Randall and R. Sundrum, Phys. Rev. Lett. 83, 3370 (1999).
18. L. Randall and R. Sundrum, Phys. Rev. Lett. 83, 4690 (1999).
19. E. Witten, Nucl. Phys. B195, 481 (1982).
20. G.W. Gibbons and M.J. Perry, Nucl. Phys. B146, 90 (1978).
21. O. DeWolfe, D.Z. Freedman, S.S. Gubser, G.T. Horowitz, and I. Mitra, Phys. Rev. D 65, 064033 (2002).
22. S.S. Gubser and I. Mitra, “Some interesting violations of the Breitenlohner-Freedman bound,” hep-th/0108239.
23. T. Shiromizu, D. Ida, H. Ochiai, and T. Torii, Phys. Rev. D 64, 084025 (2001).
24. L.F. Abbott and S. Deser, Nucl. Phys. B195, 76 (1982).
25. R. Gregory and R. Laflamme, Nucl. Phys. B428, 399 (1994).
26. G.E. Andrews, R. Askey, and R. Roy, Special Functions (Cambridge University Press, Cambridge, England, 1999).
27. D. Lohiya, Ann. Phys. (N.Y.) 141, 104 (1982).
28. S.S. Gubser and I. Mitra, J. High Energy Phys. 08, 018 (2001).
29. W. Boucher and G.W. Gibbons, “Cosmic Baldness,” in The very early universe, edited by G.W. Gibbons, S.W. Hawking, and S.T.C. Siklos (Cambridge University Press, Cambridge, England, 1983).
30. H. Hochstadt, The Functions of Mathematical Physics (Dover, New York, 1986).
31. H.S. Reall, Phys. Rev. D 64, 044005 (2001).
32. R. Gregory and R. Laflamme, Phys. Rev. D 37, 305 (1988).
33. R. Gregory and R. Laflamme, Phys. Rev. Lett. 70, 2837 (1993).
34. R. Gregory, Class. Quantum Grav. 17, L125 (2000).
35. A. Chamblin and G.W. Gibbons, Phys. Rev. Lett. 84, 1090 (2000).
36. A. Chamblin, S.W. Hawking, and H.S. Reall, Phys. Rev. D 61, 065007 (2000).
37. O. Aharony, M. Fabinger, G.T. Horowitz, and E. Silverstein, J. High Energy Phys. 07, 007 (2002).
38. D. Birmingham and M. Rinaldi, “Bubbles in Anti-de Sitter space,” hep-th/0205246.
39. B. Balasubramanian and S.F. Ross, “The dual of nothing,” hep-th/0205290.
40. M.A. Rubin and C.R. Ordóñez, J. Math. Phys. 25, 2888 (1984).
41. M.J. Duff, B.E.W. Nilsson, and C.N. Pope, Phys. Lett. 139B, 154 (1984).
42. D.N. Page and C.N. Pope, Phys. Lett. 145B, 337 (1984).
43. D.N. Page and C.N. Pope, Phys. Lett. 144B, 346 (1984).
44. M.J. Duff, B.E.W. Nilsson, and C.N. Pope, Phys. Rep. 130, 1 (1986).
45. D.H. Friedan, Ann. Phys. (N.Y.) 163, 318 (1985).