Stability of a vacuum non-singular black hole

Classical and Quantum Gravity

Volumn 22, Issue 12, 2005, Pages 2331-2357

  Dymnikova, Irina ^a,b,c   Galaktionov, Evgeny ^b,c  

^a UNIVERSITY OF WARMIA AND MAZURY IN OLSZTYN   (Poland)

^b IOFFE INSTITUTE   (Russian Federation)

^c PETER THE GREAT ST PETERSBURG POLYTECHNIC UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21244433126     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/22/12/003     Document Type: Article

References (76)

1. Sakharov A D 1966 Sov. Phys.-JETP 22 241
2. Gliner E B 1966 Sov. Phys.-JETP 22 378
3. Bardeen J M 1968 GR-5 Book of Abstracts (Tbilisi)
4. Markov M A 1982 JETP Lett. 36 265
5. Markov M A 1984 Ann. Phys. 155 333
6. Bernstein M R 1984 Bull. Am. Phys. Soc. 16 1016
7. Farhi E and Guth A 1987 Phys. Lett. B 183 149
8. Shen W and Zhu S 1988 Phys. Lett. A 126 229
9. Frolov V P, Markov M A and Mukhanov V F 1990 Phys. Rev. D 41 3831
10. Poisson E and Israel W 1988 Class. Quantum Grav. 5 L201
11. Dymnikova I 1992 Gen. Rel. Grav. 24 235
12. Dymnikova I 1990 CAMK Preprint 216
13. Tolman R C 1969 Relativity, Thermodynamics and Cosmology (Oxford: Clarendon)
14. Dymnikova I 2000 Woprosy Matematicheskoj Fiziki i Prikladnoj Matematiki ed E Tropp (St Petersburg: Russian Academy of Sciences) p 29 (Preprint gr-qc/0010016)
15. Dymnikova I 2002 Grav. Cosmol. 8 (suppl 131) (Preprint gr-qc/0201058)
16. Dymnikova I 2002 General Relativity, Cosmology and Gravitational Lensing ed G Marmo, C Rubano and P Scudellaro (Naples: Bibliopolis) p 95
17. Dymnikova I 2004 Beyond the Desert 2003 ed H V Klapdor-Kleinhaus (Berlin: Springer) p 485
18. Dymnikova I 2004 Beyond the Desert 2003 ed H V Klapdor-Kleinhaus (Berlin: Springer) p 521
19. Dymnikova I 2005 Spherically symmetric vacuum with de Sitter centre Progress in General Relativity and Quantum Cosmology (New York: Nova Science)
20. Novikov I D and Frolov V P 1989 Physics of Black Holes (Dordrecht: Kluwer)
21. Dymnikova I G 1996 Int. J. Mod. Phys. D 5 529
22. Dymnikova I 2002 Class. Quantum Grav. 19 725
23. Morgan D 1991 Phys. Rev. D 43 3144
24. Strominger A 1992 Phys. Rev. D 46 4396
25. Dymnikova I 1997 Internal Structure of Black Holes and Spacetime Singularities ed L M Burko and A Ori
26. Dymnikova I 1997 Ann. Isr. Phys. Soc. 13 422
27. Borde A 1997 Phys. Rev. D 55 7615
28. Bonanno A and Reuter M 2000 Phys. Rev. D 62 043008
29. Easson D A 2003 J. High Energy Phys. JHEP02(2003)037 (Preprint hep-th/0210016)
30. Kao W F 2000 Preprint hep-th/0009049
31. Bronnikov K A 2001 Phys. Rev. D 63 044005
32. Dymnikova I 2004 Class. Quantum Grav. 21 4417
33. Farhi E, Guth A and Guven J 1990 Nucl. Phys. B 339 417
34. Frolov V P, Markov M A and Mukhanov V F 1990 Phys. Rev. D 41 3831
35. Easson D A and Brandenberger R H 2001 J. High Energy Phys. JHEP06(2001)024 (Preprint hep-th/0103019)
36. Dymnikova I G, Dobosz A, Filchenkov M L and Gromov A 2001 Phys. Lett. B 506 351 (Preprint gr-qc/0102032)
37. Mazur P O and Mottola E 2001 Preprint gr-qc/0109035
38. Nashed G G L 2002 Gen. Rel. Grav. 34 1047
39. Nashed G G L 2002 Phys. Rev. D 66 064015
40. Nashed G G L 2003 Chaos Solitons Fractals 15 841 (Preprint gr-qc/0301008)
41. Dymnikova I G 2000 Phys. Lett. B 472 33
42. Bronnikov K A, Dobosz A and Dymnikova I G 2003 Class. Quantum Grav. 20 3797
43. Riess A G et al 1998 Astron. J. 116 1009
44. Bahcall N A et al 1999 Science 284 1481
45. Perlmutter S J et al 1999 Astrophys. J. 517 565
46. Perlmutter S J and Schmidt B P 2003 Preprint astro-ph/0303428
47. Wang L et al 2000 Astrophys. J. 530 17
48. Efstathiou G et al 2002 Mon. Not. R. Astron. Soc. 330 L29
49. Spergel D N et al 2003 Preprint astro-ph/0302209
50. Tonry J L et al 2003 Astrophys. J. 594 1 (Preprint astro-ph/0305008)
51. Corasaniti P S and Copeland E J 2002 Phys. Rev. D 65 043004
52. Bassett B A et al 2002 Mon. Not. R. Astron. Soc. 336 1217
53. Hannestad S and Mortsell E 2002 Phys. Rev. D 66 063508
54. Scranton R et al 2003 Preprint astro-ph/0307335
55. Takahashi K et al 2003 Preprint astro-ph/0305260
56. Ellis J 2003 Preprint astro-ph/0304183
57. Petrov A Z 1969 Einstein Spaces (Oxford: Pergamon)
58. Ahluwalia-Khalilova D V and Dymnikova I 2003 Int. J. Mod. Phys. D 12 1787 (Preprint hep-ph/0305158)
59. Dymnikova I 2003 Int. J. Mod. Phys. D 12 1015
60. Chandrasekhar S 1983 The Mathematical Theory of Black Holes (Oxford: Clarendon)
61. Penrose R 1968 Battelle Rencontres ed C M De Witt and J A Wheeler (New York: Benjamin)
62. Gürsel Y, Sandberg V D, Novikov I D and Starobinsky A A 1979 Phys. Rev. D 19 413
63. Gürsel Y, Sandberg V D, Novikov I D and Starobinsky A A 1979 Phys. Rev. D 20 1260
64. Chandrasekhar S and Hartle J B 1982 Proc. R. Soc. A 384 301
65. Oppenheimer J R and Snyder H 1939 Phys. Rev. 56 455
66. Hawking S W and Ellis G F R 1973 The Large Scale Structure of Space-Time (Cambridge: Cambridge University Press)
67. Wald R M 1984 General Relativity (Chicago, IL: University of Chicago)
68. Plebańsky J 1968 Lectures on Nonlinear Electrodynamics (Copenhagen: Nordita)
69. Gutiérrez S A, Dudley A and Plebańsky J 1981 J. Math. Phys. 22 2835
70. Novello M, De Lorenci V A, Salim J M and Klippert R 2000 Phys. Rev. D 61 045001
71. Dymnikova I and Soltysek B 1998 Gen. Rel. Grav. 30 1775
72. Berezin F A and Shubin M A 1983 Urawnenije Schrödingera (Moscow: Izd. MGU)
73. Kamke E 1959 Differential Gleichungen, Lösungsmethoden and Lösungen (Leipzig)
74. Dymnikova I G and Galaktionov E V to be published
75. Weyl H 1909 Rend. Circ. Mat. Palermo 27 373
76. Kato T 1966 Perturbation Theory for Linear Operators (Berlin: Springer)