Gravitational collapse in a constant potential bath

S. Jhingan; N. Dadhich; P. S. Joshi

doi:10.1103/PhysRevD.63.044010

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Gravitational collapse in a constant potential bath

S. Jhingan^*

N. Dadhich^†

P. S. Joshi^‡

Departamento de Fisica Teorica, Universidad del Pais Vasco, Apdo. 644, E-48080 Bilbao, Spain

Inter-University Centre for Astronomy & Astrophysics, Post Bag 4, Ganeshkhind, Pune 411 007, India

Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India

^*Email address: sjhingan@yukawa.kyoto-u.ac.jp. Present Address: Yukawa Institute for Theoretical Physics, Kyoto University, 606-8502, Kyoto, Japan.
^†Email address: nkd@iucaa.ernet.in
^‡Email address: psj@tifr.res.in

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Phys. Rev. D 63, 044010 – Published 19 January, 2001

DOI: https://doi.org/10.1103/PhysRevD.63.044010

Abstract

We analyze here the gravitational collapse of directed null radiation in a background with a constant potential such as the one produced by a star system such as a galaxy in which the collapsing object is immersed. Both naked singularities and black holes are shown to be developing as the final outcome of the collapse. An interesting feature that emerges is that a part of the naked singularity spectrum in the collapsing Vaidya region gets covered in the corresponding dual-Vaidya region, which corresponds to the Vaidya directed null radiation sitting in a constant potential bath. The implications of such a result towards the issue of stability of naked singularities are discussed.

References (15)

See, for example, S. Jhingan and G. Magli, in General Relativity, edited by D. Fortunato, A. Masiello, B. Casciaro, and M. Francaviglia (Springer, Berlin, 2000).
P. S. Joshi, Global Aspects in Gravitation and Cosmology (Clarendon, Oxford, 1993); “Gravitational Collapse: The Story so far,” gr-qc/0006101.
P. S. Joshi and A. Krolak, Class. Quantum Grav. 13, 3069 (1996).
N. Dadhich, “On the Schwarzschild Field,” gr-qc/9704068.
P. S. Letelier, Phys. Rev. D 6, 1294 (1979).
M. Barriola and A. Vilenkin, Phys. Rev. Lett. 63, 341 (1989).
N. Dadhich, K. Narayan, and U. Yajnik, Pramana, J. Phys. 50, 307 (1998).
N. Dadhich, Curr. Sci. 78, 1118 (2000).
N. Dadhich, Mod. Phys. Lett. A 14, 337 (1999); Gen. Relativ. Gravit. 32, 1008 (2000).
Y. Kuroda, Prog. Theor. Phys. 72, 63 (1984).
A. Papapetrou, in A Random Walk in General Relativity and Cosmology, edited by N. Dadhich, J. Krishna Rao, J. V. Narlikar, and C. V. Vishveshwara (Wiley Eastern, New Delhi, 1985).
K. Rajagopal and K. Lake, Phys. Rev. D 35, 1531 (1989).
N. Dadhich, in Universe: Vision and Perspective, edited by N. Dadhich and A. Kembhavi (Kluwer, Dordrecht, 2000).
F. Mena, R. Tavakol, and P. S. Joshi, Phys. Rev. D 62, 044001 (2000).
S. Jhingan and P. S. Joshi, Ann. Isr. Phys. Soc. 13, 357 (1997).

[c1] See, for example, S. Jhingan and G. Magli, in General Relativity, edited by D. Fortunato, A. Masiello, B. Casciaro, and M. Francaviglia (Springer, Berlin, 2000).

[c2] P. S. Joshi, Global Aspects in Gravitation and Cosmology (Clarendon, Oxford, 1993); “Gravitational Collapse: The Story so far,” gr-qc/0006101.

[c3] P. S. Joshi and A. Krolak, Class. Quantum Grav. 13, 3069 (1996).

[c4] N. Dadhich, “On the Schwarzschild Field,” gr-qc/9704068.

[c5] P. S. Letelier, Phys. Rev. D 6, 1294 (1979).

[c6] M. Barriola and A. Vilenkin, Phys. Rev. Lett. 63, 341 (1989).

[c7] N. Dadhich, K. Narayan, and U. Yajnik, Pramana, J. Phys. 50, 307 (1998).

[c8] N. Dadhich, Curr. Sci. 78, 1118 (2000).

[c9] N. Dadhich, Mod. Phys. Lett. A 14, 337 (1999); Gen. Relativ. Gravit. 32, 1008 (2000).

[c10] Y. Kuroda, Prog. Theor. Phys. 72, 63 (1984).

[c11] A. Papapetrou, in A Random Walk in General Relativity and Cosmology, edited by N. Dadhich, J. Krishna Rao, J. V. Narlikar, and C. V. Vishveshwara (Wiley Eastern, New Delhi, 1985).

[c12] K. Rajagopal and K. Lake, Phys. Rev. D 35, 1531 (1989).

[c13] N. Dadhich, in Universe: Vision and Perspective, edited by N. Dadhich and A. Kembhavi (Kluwer, Dordrecht, 2000).

[c14] F. Mena, R. Tavakol, and P. S. Joshi, Phys. Rev. D 62, 044001 (2000).

[c15] S. Jhingan and P. S. Joshi, Ann. Isr. Phys. Soc. 13, 357 (1997).

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