De Sitter and Schwarzschild-de Sitter according to Schwarzschild and de Sitter

Journal of High Energy Physics

Volumn 7, Issue 9, 2003, Pages 153-177

  McInnes, Brett ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

AdS CFT and dS CFT Correspondence; Black Holes in String Theory; Discrete and Finite Symmetries

Indexed keywords

EID: 23144437721     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2003/09/009     Document Type: Article

References (56)

1. W. de Sitter, Einstein's theory of gravitation and its astronomical consequences, Third Paper, MNRAS 78 (1917) 3, can be found at http://adsabs.harvard.edu/ads_abstracts.html.
2. J. Levin, Topology and the cosmic microwave background, Phys. Rept. 365 (2002) 251 [gr-qc/0108043].
3. J.-P. Uzan, A. Riazuelo, R. Lehoucq and J. Weeks, Cosmic microwave background constraints on multi-connected spherical spaces, astro-ph/0303580.
4. J.-P. Luminet, Past and future of cosmic topology, gr-qc/9804006.
5. K Schwarzschild, Über das zulässige Krümmungsmass des Raumes, Vierteljahrschrift d. Astronom. Gesellschaft 35 (1900) 337.
6. K. Schwarzschild, On the permissible curvature of space, Class. and Quant. Grav. 15 (1998) 2539.
7. S.W. Hawking and G.F.R. Ellis, The large scale structure of spacetime, Cambridge University Press, Cambridge 1973.
8. S. Kobayashi and K. Nomizu, Foundations of differential geometry I, Interscience, 1963.
9. J.A. Wolf Spaces of constant curvature, Publish or Perish, 1984.
10. 3 de Sitter spacetime, Class. and Quant. Grav. 16 (1999) 2005 [gr-qc/9812056].
11. C. Bennett et al., First year Wilkinson microwave anisotropy probe (WMAP) observations: foreground emission, astro-ph/0302208.
12. G. Efstathiou, Is the low CMB quadrupole a signature of spatial curvature?, Mon. Not. Roy. Astron. Soc. 343 (2003) L95 [astro-ph/0303127].
13. G. Eistathiou, The statistical significance of the low CMB mulitipoles, astro-ph/0306431.
14. A. de Oliveira-Costa, M. Tegmark, M. Zaldarriaga and A. Hamilton, The significance of the largest scale CMB fluctuations in WMAP, astro-ph/0307282.
15. H.K. Eriksen, F.K. Hansen, A.J. Banday, K.M. Gorski and P.B. Lilje, Asymmetries in the CMB anisotropy field, astro-ph/0307507.
16. N. Goheer, M. Kleban and L. Susskind, The trouble with de Sitter space, J. High Energy Phys. 07 (2003) 056 [hep-th/0212209].
17. T. Jacobson and R. Parentani, Horizon entropy, Found. Phys. 33 (2003) 323 [gr-qc/0302099].
18. W. Israel, Black hole thermodynamics, in Current trends in relativistic astrophysics, L. Fernandez-Jambrina and L.M. Gonzalez-Romero eds., Springer, Berlin 2003.
19. P. Kerszberg, The invented universe: the Einstein-de Sitter controversy (1916-17) and the rise of relativistic cosmology, Oxford University Press, Oxford 1989.
20. E. Schrödinger, Expanding universes, Cambridge University Press, Cambridge 1956.
21. 2, Phys. Rev. D 67 (2003) 064005 [hep-th/0209120].
22. M. Visser, Lorentzian wormholes from Einstein to Hawking, AIP Press, 1995.
23. A. Aguirre and S. Gratton, Inflation without a beginning: a null boundary proposal, Phys. Rev. D 67 (2003) 083515 [gr-qc/0301042].
24. J. Louko, Single-exterior black holes, Lect. Notes Phys. 541 (2000) 188 [gr-qc/9906031].
25. H.B. Lawson and M.L. Michelsohn, Spin geometry, Princeton University Press, Princeton 1989.
26. J. Polchinski, String theory, Cambridge University Press, Cambridge 1998.
27. G.W. Gibbons and S.W. Hawking, Cosmological event horizons, thermodynamics and particle creation, Phys. Rev. D 15 (1977) 2738.
28. R. Bousso, Adventures in de Sitter space, hep-th/0205177.
29. R.M. Wald, General relativity, Chicago University Press, Chicago 1984.
30. L. Susskind and J. Uglum, Black hole entropy in canonical quantum gravity and superstring theory, Phys. Rev. D 50 (1994) 2700 [hep-th/9401070].
31. C.G. Callan Jr. and F. Wilczek, On geometric entropy, Phys. Lett. B 333 (1994) 55 [hep-th/9401072].
32. D. Chang, C.-S. Chu and F.-L. Lin, Transplanckian entanglement entropy, hep-th/0306055.
33. J.M. Maldacena, Eternal black holes in anti-de Sitter, J. High Energy Phys. 04 (2003) 021 [hep-th/0106112].
34. P. Kraus, H. Ooguri and S. Shenker, Inside the horizon with AdS/CFT, Phys. Rev. D 67 (2003) 124022 [hep-th/0212277].
35. L. Fidkowski, V. Hubeny, M. Kleban and S. Shenker, The black hole singularity in AdS/CFT, hep-th/0306170.
36. A. Strominger, The dS/CFT correspondence, J. High Energy Phys. 10 (2001) 034 [hep-th/0106113].
37. A. Casher, P.O. Mazur and A.J. Staruszkiewicz, de Sitter invariant vacuum states, vertex operators and conformal field theory correlators, hep-th/0301023.
38. J.P. van der Schaar, Inflationary perturbations from deformed CFT, hep-th/0307271.
39. L. Dyson, J. Lindesay and L. Susskind, Is there really a de Sitter/CFT duality, J. High Energy Phys. 08 (2002) 045 [hep-th/0202163].
40. A.L. Besse, Einstein manifolds, Springer Verlag, Berlin 1987.
41. L. Andersson and G.J. Galloway, dS/CFT and spacetime topology, hep-th/0202161.
42. P. Scott, The geometries of three-manifolds, Bull. Land. Math. Soc. 15 (1983) 401.
43. T. Hertog, G.T. Horowitz and K. Maeda, Generic cosmic censorship violation in anti-de Sitter space, gr-qc/0307102.
44. R. Bousso, Proliferation of de Sitter space, Phys. Rev. D 58 (1998) 083511 [hep-th/9805081].
45. S. Nojiri and S.D. Odintsov, Quantum evolution of Schwarzschild-de Sitter (Nariai) black holes, Phys. Rev. D 59 (1999) 044026 [hep-th/9804033].
46. A.A. Bytsenko, S. Nojiri and S.D. Odintsov, Quantum generation of Schwarzschild-de Sitter (nariai) black holes in effective dilaton-Maxwell gravity, Phys. Lett. B 443 (1998) 121 [hep-th/9808109].
47. A.J.M. Medved, Nearly degenerate ds horizons from a 2-d perspective, hep-th/0302058.
48. V. Balasubramanian, J. de Boer and D. Minic, Exploring de Sitter space and holography, Class. and Quant. Grav. 19 (2002) 5655 [hep-th/0207245];
49. Exploring de Sitter space and holography, Class. and Quant. Grav. 19 (2002) 5655 [hep-th/0207245].
50. S.R. Das, Thermality in de Sitter and holography, Phys. Rev. D 66 (2002) 025018 [hep-th/0202008].
51. S. Shankaranarayanan, Temperature and entropy of Schwarzschild-de Sitter space-time, Phys. Rev. D 67 (2003) 084026 [gr-qc/0301090].
52. A. Gomberoff and C. Teitelboim, de Sitter black holes with either of the two horizons as a boundary, Phys. Rev. D 67 (2003) 104024 [hep-th/0302204].
53. S. Hawking, J.M. Maldacena and A. Strominger, De Sitter entropy, quantum entanglement and AdS/CFT, J. High Energy Phys. 05 (2001) 001 [hep-th/0002145].
54. L.M. Krauss and F. Wilczek, Discrete gauge symmetry in continuum theories, Phys. Rev. Lett. 62 (1989) 1221.
55. J. Preskill and L.M. Krauss, Local discrete symmetry and quantum mechanical hair, Nucl. Phys. B 341 (1990) 50.
56. B.T. McInnes, Alice universes, Class. and Quant. Grav. 14 (1997) 2527.