Gravitational Collapse of Radiating Dyon Solution and Cosmic Censorship Hypothesis
K. D. Patil1, S. S. Zade2, A. N. Mohod3
1Department of Mathematics, B. D. College of Engineering, Sewagram, Wardha, India2Department of Mathematics, J. B. College of Science, Wardha, India3Department of Mathematics, S. S. S. K. R. Innani Mahavidyalaya, Karanja, India
Gravitational Collapse of Radiating Dyon Solution and Cosmic Censorship Hypothesis
K. D. Patil1;S. S. Zade2;A. N. Mohod3
1Department of Mathematics, B. D. College of Engineering, Sewagram, Wardha, India2Department of Mathematics, J. B. College of Science, Wardha, India3Department of Mathematics, S. S. S. K. R. Innani Mahavidyalaya, Karanja, India
摘要We investigate the possibility of cosmic censorship violation in the gravitational collapse of radiating dyon solution. It is shown that the final outcome of the collapse depends sensitively on the electric and magnetic charge parameters. The graphs of the outer apparent horizon, inner Cauchy horizon for different values of parameters are drawn. It is found that the electric and magnetic components push the apparent horizon towards the retarded time-coordinate axis, which in turn reduces the radius of the apparent horizon in Vaidya spacetime. Also, we extend the earlier work of Chamorro and Virbhadra [Pramana, J. Phys. 45(1995)181].
Abstract:We investigate the possibility of cosmic censorship violation in the gravitational collapse of radiating dyon solution. It is shown that the final outcome of the collapse depends sensitively on the electric and magnetic charge parameters. The graphs of the outer apparent horizon, inner Cauchy horizon for different values of parameters are drawn. It is found that the electric and magnetic components push the apparent horizon towards the retarded time-coordinate axis, which in turn reduces the radius of the apparent horizon in Vaidya spacetime. Also, we extend the earlier work of Chamorro and Virbhadra [Pramana, J. Phys. 45(1995)181].
K. D. Patil;S. S. Zade;A. N. Mohod. Gravitational Collapse of Radiating Dyon Solution and Cosmic Censorship Hypothesis[J]. 中国物理快报, 2008, 25(3): 854-857.
K. D. Patil, S. S. Zade, A. N. Mohod. Gravitational Collapse of Radiating Dyon Solution and Cosmic Censorship Hypothesis. Chin. Phys. Lett., 2008, 25(3): 854-857.
[1] Penrose R 1969 Riv. Nuovo Cimento 1 252 [2]Eardley D M and Smarr L 1979 Phys. Rev. D 19 2239 [3]Christodoulou D 1984 Commun. Math. Phys. 93 171 [4]Newman R P A C 1986 Class. Quantum Grav. 3 527 [5]Joshi P S and Dwivedi I H 1993 Phys. Rev. D 47 5537 [6] Patil K D 2003 Phys. Rev. D 67 024017 [7]Patil K D 2006 Int. J. Mod. Phys. D 15(2) 251 [8] Hiscok W A Williams L G and Eardley D M 1982 Phys.Rev. D 26 751 [9] Rajagopal K and Lake K 1987 Phys. Rev. D 35 1531 [10]Dwivedi I H and Joshi P S 1989 Class. Quantum Grav. 6 1599 [11]Lake K and Zannias T 1991 Phys. Rev. D 43 1798 [12]Lemos J P S 1999 Phys. Rev. D 59 044020 [13]Papapetrou A 1985 A Random Walk in Relativity andGravitation eds Dadhich N, Rao J K, Narlikar J V and Vishveshwara CV (New York: Wiley) p 184 [14] Patil K D and Zade S S 2006 Int. J. Mod. Phys. D 15 1359 [15]Patil K D and Thool U S 2006 Int. J. Mod. Phys. D 15(11) 1977 [16]Ori A and Piran T 1987 Phys. Rev. Lett. 59 2137 [17] Ori A and Piran T 1990 Phys. Rev. D 42 1068 [18] Harada T and Maeda H 2001 Phys. Rev. D 63 0804022 [19]Iguchi H, Harada T and Mena Filipe C 2005 Class.Quantum Grav. 22 841 [20]Harko T and Cheng K S 2000 Phys. Lett. A 266 249 [21] Ghosh S G and Dadhich N 2003 Gen. Relativ. Gravit. 35 359 [22]Lake K and Hellaby C 1981 Phys. Rev. D 43 3019 [23] Chamorro A and Virbhadra K S 1995 Pramana, J. Phys. 45 181 [24] Semiz I 1992 Phys. Rev. D 46 5414 [25]Joshi P S 1993 Global Aspects in Gravitation andCosmology (Oxford: Clarendon) [26] Dwivedi I H and Joshi P S 1991 Class. Quantum. Grav. 8 1339 [27] Deshingkar S S, Joshi P S and Dwivedi I H 1999 Phys.Rev. D 59 044018 [28] Clarke C J S and Krolak A 1986 J. Geo. Phys. 2 127