Nonexistence of self-similar solutions containing a black hole in a universe with a stiff fluid or scalar field or quintessence

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 74, Issue 2, 2006, Pages

  Harada, Tomohiro ^a,b   Maeda, Hideki ^a,c,d   Carr, B J ^e,f  

^a RIKKYO UNIVERSITY   (Japan)

^b KYOTO UNIVERSITY   (Japan)

^c WASEDA UNIVERSITY   (Japan)

^d INTERNATIONAL CHRISTIAN UNIVERSITY   (Japan)

^e UNIVERSITY OF TOKYO   (Japan)

^f QUEEN MARY UNIVERSITY OF LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33746432098     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.74.024024     Document Type: Article

References (52)

1. S. Hawking, Mon. Not. R. Astron. Soc. 152, 75 (1971). MNRAA4 0035-8711
2. B.J. Carr, Astrophys. J. 201, 1 (1975). ASJOAB 0004-637X 10.1086/153853
3. B.J. Carr, in The Future of Theoretical Physics and Cosmology, edited by, G. Gibbons,,, P. Shellard,, and, S. Rankine, (Cambridge University Press, Cambridge, England, 2003), p. 236.
4. R. Bean and J. Magueijo, Phys. Rev. D 66, 063505 (2002). PRVDAQ 0556-2821 10.1103/PhysRevD.66.063505
5. P.S. Custodio and J.E. Horvath, Int. J. Mod. Phys. D 14, 257 (2005). IMPDEO 0218-2718 10.1142/S0218271805006043
6. J. Kormendy and D. Richstone, Annu. Rev. Astron. Astrophys. ARAAAJ 0066-4146 33, 581 (1995).
7. Ya.B. Zeldovich and I.D. Novikov, Sov. Astron. 10, 602 (1967). SAAJAN 0038-5301
8. B.J. Carr and S.W. Hawking, Mon. Not. R. Astron. Soc. 168, 399 (1974). MNRAA4 0035-8711
9. T. Harada and B.J. Carr, Phys. Rev. D 71, 104009 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.71.104009
10. E. Babichev, V. Dokuchaev, and Yu. Eroshenko, Phys. Rev. Lett. 93, 021102 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.93.021102
11. S. Nojiri and S.D. Odintsov, Phys. Rev. D 70, 103522 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.70.103522
12. E. Babichev, V. Dokuchaev, and Yu. Eroshenko, J. Exp. Theor. Phys. 100, 528 (2005). JTPHES 1063-7761 10.1134/1.1901765
13. A.V. Frolov, Phys. Rev. D 70, 061501 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.70.061501
14. S. Mukohyama, Phys. Rev. D 71, 104019 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.71.104019
15. B.J. Carr, Ph.D. thesis, Cambridge University, 1976.
16. G.V. Bicknell and R.N. Henriksen, Astrophys. J. 225, 237 (1978). ASJOAB 0004-637X 10.1086/156487
17. B.J. Carr and A. Yahil, Astrophys. J. 360, 330 (1990). ASJOAB 0004-637X 10.1086/169125
18. D.K. Nadezhin, I.D. Novikov, and A.G. Polnarev, Sov. Astron. 22, 129 (1978). SAAJAN 0038-5301
19. I.D. Novikov and A.G. Polnarev, Sov. Astron. 24, 147 (1980). SAAJAN 0038-5301
20. J.C. Niemeyer and K. Jedamzik, Phys. Rev. D 59, 124013 (1999). PRVDAQ 0556-2821 10.1103/PhysRevD.59.124013
21. K. Jedamzik and J.C. Niemeyer, Phys. Rev. D 59, 124014 (1999). PRVDAQ 0556-2821 10.1103/PhysRevD.59.124014
22. M. Shibata and M. Sasaki, Phys. Rev. D 60, 084002 (1999). PRVDAQ 0556-2821 10.1103/PhysRevD.60.084002
23. I. Hawke and J.M. Stewart, Classical Quantum Gravity 19, 3687 (2002). CQGRDG 0264-9381 10.1088/0264-9381/19/14/310
24. I. Musco, J.C. Miller, and L. Rezzola, Classical Quantum Gravity 22, 1405 (2005). CQGRDG 0264-9381 10.1088/0264-9381/22/7/013
25. H. Maeda, J. Koga, and K. Maeda, Phys. Rev. D 66, 087501 (2002). PRVDAQ 0556-2821 10.1103/PhysRevD.66.087501
26. D.N.C. Lin, B.J. Carr, and S.M. Fall, Mon. Not. R. Astron. Soc. 177, 51 (1976). MNRAA4 0035-8711
27. G.V. Bicknell and R.N. Henriksen, Astrophys. J. 219, 1043 (1978). ASJOAB 0004-637X 10.1086/155869
28. M.S. Madsen, Classical Quantum Gravity 5, 627 (1988). CQGRDG 0264-9381 10.1088/0264-9381/5/4/010
29. T. Harada and B.J. Carr, Phys. Rev. D 71, 104010 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.71.104010
30. T. Harada and B.J. Carr, Phys. Rev. D 72, 044021 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.72.044021
31. P.R. Brady, Phys. Rev. D 51, 4168 (1995). PRVDAQ 0556-2821 10.1103/PhysRevD.51.4168
32. T. Harada and H. Maeda, Classical Quantum Gravity 21, 371 (2004). CQGRDG 0264-9381 10.1088/0264-9381/21/2/003
33. B.J. Carr and C. Gundlach, Phys. Rev. D 67, 024035 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.67.024035
34. A. Ori and T. Piran, Phys. Rev. D 42, 1068 (1990). PRVDAQ 0556-2821 10.1103/PhysRevD.42.1068
35. D. Christodoulou, Commun. Math. Phys. 105, 337 (1986); CMPHAY 0010-3616 10.1007/BF01205930
36. D. Christodoulou Commun. Math. Phys. 106, 587 (1986); CMPHAY 0010-3616 10.1007/BF01463398
37. D. Christodoulou Commun. Math. Phys. 109, 591 (1987); CMPHAY 0010-3616 10.1007/BF01208959
38. D. Christodoulou Commun. Math. Phys. 109, 613 (1987). CMPHAY 0010-3616 10.1007/BF01208960
39. M.D. Roberts, Gen. Relativ. Gravit. GRGVA8 0001-7701 21, 907 (1989). 10.1007/BF00769864
40. S.A. Hayward, gr-qc/9303006.
41. S.A. Hayward, Phys. Rev. D 53, 1938 (1996). PRVDAQ 0556-2821 10.1103/PhysRevD.53.1938
42. T. Harada, Classical Quantum Gravity 18, 4549 (2001). CQGRDG 0264-9381 10.1088/0264-9381/18/21/311
43. P.C. Vaidya, Proc. Indian Acad. Sci. A 33, 264 (1951); PISAA7 0370-0089
44. P.C. Vaidya Nature (London) NATUAS 0028-0836 171, 260 (1953). 10.1038/171260a0
45. J. Wainwright and G.F.R. Ellis, Dynamical Systems in Cosmology (Cambridge University Press, Cambridge, England, 1997).
46. H. Maeda and T. Harada, Phys. Lett. B 607, 8 (2005). PYLBAJ 0370-2693 10.1016/j.physletb.2004.12.035
47. H. Maeda, T. Harada, and B.J. Carr (unpublished).
48. A.A. Coley, Classical Quantum Gravity 14, 87 (1997). CQGRDG 0264-9381 10.1088/0264-9381/14/1/012
49. H. Maeda and T. Harada, in General Relativity Research Trends, Horizons in World Physics, Vol. 249, edited by, R. Albert, (Nova Science Publishers, New York, 2005).
50. T. Jacobson, Phys. Rev. Lett. 83, 2699 (1999). PRLTAO 0031-9007 10.1103/PhysRevLett.83.2699
51. E. Bettwieser and W. Glatzel, Astron. Astrophys. 94, 306 (1981). AAEJAF 0004-6361
52. J.M.M. Senovilla, Gen. Relativ. Gravit. GRGVA8 0001-7701 30, 701 (1998). 10.1023/A:1018801101244