Ultrarelativistic black hole in an external electromagnetic field and gravitational waves in the Melvin universe

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 69, Issue 6, 2004, Pages 11-

  Ortaggio, Marcello ^a  

^a CHARLES UNIVERSITY   (Czech Republic)

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[No Author keywords available]

Indexed keywords

EID: 2342427885     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.69.064034     Document Type: Article

References (74)

1. F.A.E. Pirani, Proc. R. Soc. London A252, 96 (1959).
2. P.C. Aichelburg and R.U. Sexl, Gen. Relativ. Gravit. 2, 303 (1971).
3. R. Penrose, Int. J. Theor. Phys. 1, 61 (1968).
4. R. Penrose, in General Relativity: Papers in Honour of J. L. Synge, edited by L. O’Raifeartaigh (Clarendon Press, Oxford, 1972), pp. 101–115.
5. P.D. D’Eath, Phys. Rev. D 18, 990 (1978).
6. P.D. D’Eath, Black Holes: Gravitational Interactions (Clarendon Press, Oxford, 1996).
7. T. Dray and G. ’t Hooft, Nucl. Phys. B253, 173 (1985)
8. G. ’t Hooft, Phys. Lett. B 198, 61 (1987).
9. N. Arkani-Hamed, S. Dimopoulos, and G. Dvali, Phys. Lett. B 429, 263 (1998)
10. Phys. Lett. BI. Antoniadis, N. Arkani-Hamed, S. Dimopoulos, and G. Dvali, 436, 257 (1998)
11. L. Randall and R. Sundrum, Phys. Rev. Lett. 83, 3370 (1999)
12. Phys. Rev. Lett.L. RandallR. Sundrum83, 4690 (1999).
13. T. Banks and W. Fischler, “A model for high energy scattering in quantum gravity,” hep-th/9906038
14. S.B. Giddings and S. Thomas, Phys. Rev. D 65, 056010 (2002)
15. S. Dimopoulos and G. Landsberg, Phys. Rev. Lett. 87, 161602 (2001).
16. D.M. Eardley and S.B. Giddings, Phys. Rev. D 66, 044011 (2002)
17. E. Kohlprath and G. Veneziano, J. High Energy Phys. 06, 057 (2002)
18. H. Yoshino and Y. Nambu, Phys. Rev. D 66, 065004 (2002).
19. C.O. Loustó and N. Sánchez, Int. J. Mod. Phys. A 5, 915 (1990)
20. R. Steinbauer, J. Math. Phys. 38, 1614 (1997).
21. R.-G. Cai, J.-Y. Ji, and K.-S. Soh, Nucl. Phys. B528, 265 (1998).
22. C.O. Loustó and N. Sánchez, Phys. Lett. B 232, 462 (1989)
23. V. Ferrari and P. Pendenza, Gen. Relativ. Gravit. 22, 1105 (1990)
24. C.O. Loustó and N. Sánchez, Nucl. Phys. B383, 377 (1992).
25. H. Balasin and H. Nachbagauer, Class. Quantum Grav. 12, 707 (1995)
26. Class. Quantum Grav.H. BalasinH. Nachbagauer13, 731 (1996).
27. M. Hotta and M. Tanaka, Class. Quantum Grav. 10, 307 (1993)
28. J. Podolský and J.B. Griffiths, Phys. Rev. D 56, 4756 (1997).
29. J. Podolský and J.B. Griffiths, Phys. Rev. D 58, 124024 (1998).
30. C. Barrabès and P.A. Hogan, Phys. Rev. D 64, 044022 (2001).
31. A. Burinskii and G. Magli, Phys. Rev. D 61, 044017 (2000).
32. F.J. Ernst, J. Math. Phys. 17, 54 (1976).
33. F.J. Ernst and W.J. Wild, J. Math. Phys. 17, 182 (1976)
34. J. Math. Phys.A. García Díaz, 26, 155 (1985).
35. W.A. Hiscock, J. Math. Phys. 22, 1828 (1981)
36. J. Bičák and V. Janiš, Mon. Not. R. Astron. Soc. 212, 899 (1985);J. Bičák and V. Karas, in Proceedings of the Fifth Marcel Grossmann Meeting, edited by D. G. Blair and M.J. Buckingham (World Scientific, Singapore, 1989), pp. 1199–1206
37. V. Karas and Z. Budínová, Phys. Scr. 61, 253 (2000);V.P. Frolov and I.D. Novikov, Black Hole Physics (Kluwer Academic Publishers, Dordrecht, 1998).
38. W.B. Bonnor, Proc. Phys. Soc. London A67, 225 (1954).
39. M.A. Melvin, Phys. Lett. 8, 65 (1964).
40. M.A. Melvin, Phys. Rev. 139, B225 (1965).
41. K.S. Thorne, Phys. Rev. 139, B244 (1965).
42. G.W. Gibbons and D.L. Wiltshire, Nucl. Phys. B287, 717 (1987).
43. G.W. Gibbons and K. Maeda, Nucl. Phys. B298, 741 (1988).
44. G.W. Gibbons and C.A.R. Herdeiro, Class. Quantum Grav. 18, 1677 (2001).
45. G.W. Gibbons, in Fields and Geometry, 1986: Proceedings of the XXII Winter School of Theoretical Physics, edited by A. Jadczyk (World Scientific, Singapore, 1986), pp. 597–615
46. D. Garfinkle and A. Strominger, Phys. Lett. B 256, 146 (1991)
47. D. Garfinkle, S.B. Giddings, and A. Strominger, Phys. Rev. D 49, 958 (1994)
48. Phys. Rev. DF. Dowker, J.P. Gauntlett, D.A. Kastor, and J. Traschen, 49, 2909 (1994)
49. Phys. Rev. DF. Dowker, J.P. Gauntlett, S.B. Giddings, and G.T. Horowitz, 50, 2662 (1994)
50. Phys. Rev. DS.W. Hawking, G.T. Horowitz, and S.F. Ross, 51, 4302 (1995)
51. Phys. Rev. DS.W. Hawking and S.F. Ross, 52, 5865 (1995)
52. R. Emparan, Phys. Rev. Lett. 75, 3386 (1995).
53. D. Garfinkle and M.A. Melvin, Phys. Rev. D 45, 1188 (1992).
54. H. Stephani, D. Kramer, M. MacCallum, C. Hoenselaers, and E. Herlt, Exact Solutions of Einstein’s Field Equations, 2nd ed. (Cambridge University Press, Cambridge, 2003).
55. S.K. Bose and E. Esteban, J. Math. Phys. 22, 3006 (1981).
56. J.F. Plebański, J. Math. Phys. 20, 1946 (1979).
57. I. Robinson and K. Rózga, J. Math. Phys. 25, 499 (1984).
58. R.P. Kanwal, Generalized Functions: Theory and Technique, 2nd ed. (Birkhäuser, Boston, 1998).
59. H. Balasin, Class. Quantum Grav. 17, 1913 (2000).
60. J. Podolský, in Gravitation: Following the Prague Inspiration, edited by O. Semerák, J. Podolský, and M. Žofka (World Scientific, Singapore, 2002), pp. 205–246.
61. J. Podolský and M. Ortaggio, Class. Quantum Grav. 18, 2689 (2001).
62. M. Ortaggio, Phys. Rev. D 65, 084046 (2002).
63. M. Ortaggio and J. Podolský, Class. Quantum Grav. 19, 5221 (2002).
64. C.D. Collinson, J. Math. Phys. 9, 403 (1968).
65. C.J.S. Clarke and T. Dray, Class. Quantum Grav. 4, 265 (1987).
66. P.C. Aichelburg and H. Balasin, Class. Quantum Grav. 14, A31 (1997).
67. J. Podolský and K. Veselý, Phys. Lett. A 241, 145 (1998).
68. R. Steinbauer, in Proceedings of the VIII Romanian Conference on General Relativity and Gravitation, edited by I.I. Cotaescu and D.N. Vulcanov (Mirton, Timisoara, 1998)
69. J. Podolský and K. Veselý, Class. Quantum Grav. 16, 3599 (1999).
70. J. Podolský, Class. Quantum Grav. 15, 3229 (1998).
71. J. Podolský and M. Ortaggio, Class. Quantum Grav. 20, 1685 (2003).
72. A. García D. and M. Alvarez C., Nuovo Cimento Soc. Ital. Fis., B 79, 266 (1984)
73. V.I. Khlebnikov, Class. Quantum Grav. 3, 169 (1986).
74. V.F. Panov, Izv. Vyssh. Uchebn. Zaved. Fiz. 12, 24 (1979).