Spacetime structure of static solutions in Gauss-Bonnet gravity: Neutral case

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 71, Issue 12, 2005, Pages 1-18

  Torii, Takashi ^a   Maeda, Hideki ^a  

^a WASEDA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 27144547637     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.71.124002     Document Type: Article

References (57)

1. N. Arkani-Hamed, S. Dimopoulos, and G. Dvali, Phys. Lett. B 429, 263 (1998); PYLBAJ 0370-2693 10.1016/S0370-2693(98)00466-3
2. I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos, and G. Dvali, Phys. Lett. B 436, 257 (1998). PYLBAJ 0370-2693 10.1016/S0370-2693(98)00860-0
3. L. Randall and R. Sundrum, Phys. Rev. Lett. 83, 3370 (1999); PRLTAO 0031-9007 10.1103/PhysRevLett.83.3370
4. L. Randall R. Sundrum Phys. Rev. Lett. 83, 4690 (1999). PRLTAO 0031-9007 10.1103/PhysRevLett.83.4690
5. G. Dvali, G. Gabadadze, and M. Porrati, Phys. Lett. B 485, 208 (2000); PYLBAJ 0370-2693 10.1016/S0370-2693(00)00669-9
6. G. Dvali and G. Gabadadze, Phys. Rev. D 63, 065007 (2001); PRVDAQ 0556-2821 10.1103/PhysRevD.63.065007
7. G. Dvali, G. Gabadadze, and M. Shifman, Phys. Rev. D 67, 044020 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.67.044020
8. P. Hořava and E. Witten, Nucl. Phys. NUPBBO 0550-3213 B475, 94 (1996); 10.1016/0550-3213(96)00308-2
9. A. Lukas, B.A. Ovrut, K.S. Stelle, and D. Waldram, Phys. Rev. D 59, 086001 (1999); PRVDAQ 0556-2821 10.1103/PhysRevD.59.086001
10. A. Lukas, B.A. Ovrut, and D. Waldram, Phys. Rev. D 60, 086001 (1999). PRVDAQ 0556-2821 10.1103/PhysRevD.60.086001
11. S. Dimopoulos and G. Landsberg, Phys. Rev. Lett. 87, 161602 (2001); PRLTAO 0031-9007 10.1103/PhysRevLett.87.161602
12. A. Chamblin and G.C. Nayak, Phys. Rev. D 66, 091901 (2002); PRVDAQ 0556-2821 10.1103/PhysRevD.66.091901
13. S.B. Giddings and S. Thomas, Phys. Rev. D 65, 056010 (2002). PRVDAQ 0556-2821 10.1103/PhysRevD.65.056010
14. C. Lanczos, Ann. Math. 39, 842 (1938). ANMAAH 0003-486X
15. D.J. Gross and E. Witten, Nucl. Phys. NUPBBO 0550-3213 B277, 1 (1986); 10.1016/0550-3213(86)90429-3
16. D.J. Gross and J.H. Sloan, Nucl. Phys. NUPBBO 0550-3213 B291, 41 (1987); 10.1016/0550-3213(87)90465-2
17. R.R. Metsaev and A.A. Tseytlin, Phys. Lett. B 191, 354 (1987); PYLBAJ 0370-2693 10.1016/0370-2693(87)90622-8
18. R.C. Meyers, Phys. Rev. D 36, 392 (1987); PRVDAQ 0556-2821 10.1103/PhysRevD.36.392
19. C.G. Callan, R.C. Meyers, and M.J. Perry, Nucl. Phys. NUPBBO 0550-3213 B311, 673 (1989); 10.1016/0550-3213(89)90172-7
20. R.R. Metsaev and A.A. Tseytlin, Nucl. Phys. NUPBBO 0550-3213 B293, 385 (1987). 10.1016/0550-3213(87)90077-0
21. B. Zwieback, Phys. Lett. 156B, 315 (1985); PYLBAJ 0370-2693 10.1016/0370-2693(85)91616-8
22. B. Zumino, Phys. Rep. 137, 109 (1986). PRPLCM 0370-1573 10.1016/0370-1573(86)90076-1
23. D.G. Boulware and S. Deser, Phys. Rev. Lett. 55, 2656 (1985). PRLTAO 0031-9007 10.1103/PhysRevLett.55.2656
24. J.T. Wheeler, Nucl. Phys. NUPBBO 0550-3213 B268, 737 (1986). 10.1016/0550-3213(86)90268-3
25. See, for example, T. Torii, H. Yajima, and K. Maeda, Phys. Rev. D 55, 739 (1997), and references therein. PRVDAQ 0556-2821 10.1103/PhysRevD.55.739
26. Y.M. Cho and I.P. Neupane, Phys. Rev. D 66, 024044 (2002). PRVDAQ 0556-2821 10.1103/PhysRevD.66.024044
27. M. Cvetic, S. Nojiri, and S.D. Odintsov, Nucl. Phys. NUPBBO 0550-3213 B628, 295 (2002). 10.1016/S0550-3213(02)00075-5
28. R.-G. Cai, Phys. Rev. D 65, 084014 (2002); PRVDAQ 0556-2821 10.1103/PhysRevD.65.084014
29. R.-G. Cai, Y.S. Myung, and Y.-Z. Zhang, Phys. Rev. D 65, 084019 (2002); PRVDAQ 0556-2821 10.1103/PhysRevD.65.084019
30. R.-G. Cai, Phys. Lett. B 582, 237 (2004). PYLBAJ 0370-2693 10.1016/j.physletb.2004.01.015
31. I.P. Neupane, Phys. Rev. D 67, 061501 (2003); PRVDAQ 0556-2821 10.1103/PhysRevD.67.061501
32. Phys. Rev. D 69, 084011 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.69. 084011
33. R.-G. Cai and Q. Guo, Phys. Rev. D 69, 104025 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.69.104025
34. J.D. Brown, J. Creighton, and R.B. Mann, Phys. Rev. Lett. 50, 6394 (1984). PRLTAO 0031-9007
35. See references in R.-G. Cai and K.-S. Soh, Phys. Rev. D 59, 044013 (1999). PRVDAQ 0556-2821 10.1103/PhysRevD.59.044013
36. D. Lovelock, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 12, 498 (1971). 10.1063/1.1665613
37. R.C. Myers and J.Z. Simon, Phys. Rev. D 38, 2434 (1988). PRVDAQ 0556-2821 10.1103/PhysRevD.38.2434
38. B. Whitt, Phys. Rev. D 38, 3000 (1988). PRVDAQ 0556-2821 10.1103/PhysRevD.38.3000
39. S. Deser and B. Tekin, Phys. Rev. Lett. 89, 101101 (2002); PRLTAO 0031-9007 10.1103/PhysRevLett.89.101101
40. S. Deser B. Tekin Phys. Rev. D 67, 084009 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.67.084009
41. C.W. Misner, K.S. Thorne, and J.A. Wheeler, Gravitation (Freeman, San Francisco, 1973).
42. J.A. Wolf, Space of Constant Curvature (MacGraw-Hill, New York, 1967).
43. S. Carlip, Classical Quantum Gravity CQGRDG 0264-9381 10, 207 (1993). 10.1088/0264-9381/10/2/004
44. C. Böhm, Invent. Math. INVMBH 0020-9910 134, 145 (1998); 10.1007/s002220050261
45. S. Carlip, Classical Quantum Gravity CQGRDG 0264-9381 15, 2629 (1998). 10.1088/0264-9381/15/9/010
46. For a rigorous definition, see S.W. Hawking, and G.F.R. Ellis, The Large Scale Structure of Space-Time (Cambridge University Press, Cambridge, England, 1973).
47. V. Rychkov, Phys. Rev. D 70, 044003 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.70.044003
48. R.M. Wald, Phys. Rev. D 48, R3427 (1993); PRVDAQ 0556-2821 10.1103/PhysRevD.48.R3427
49. V. Iyer and R.M. Wald, Phys. Rev. D 50, 846 (1994). PRVDAQ 0556-2821 10.1103/PhysRevD.50.846
50. T. Clunan, S.F. Ross, and D.J. Smith, Classical Quantum Gravity CQGRDG 0264-9381 21, 3447 (2004). 10.1088/0264-9381/21/14/009
51. C. Csaki, J. Erlich, and C. Grojean, Nucl. Phys. NUPBBO 0550-3213 B604, 312 (2001). 10.1016/S0550-3213(01)00175-4
52. R. Penrose, in Battelle Rencontres, edited by, C. de Witt, and, J.A. Wheeler, (Benjamin, New York, 1968), p. 222;
53. E. Poisson and W. Israel, Phys. Rev. D 41, 1796 (1990); PRVDAQ 0556-2821 10.1103/PhysRevD.41.1796
54. P.R. Brady, Prog. Theor. Phys. Suppl. 136, 29 (1999). PTPSEP 0375-9687
55. See also the reference in H. Maeda, T. Torii, and T. Harada, Phys. Rev. D 71, 064015 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.71.064015
56. K. Maeda and T. Torii, Phys. Rev. D 69, 024002 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.69.024002
57. T. Torii (unpublished).