Other
Scientific paper
Mar 1995
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995basi...23...41j&link_type=abstract
Bulletin of the Astronomical Society of India, Vol. 23, p. 41 (1995)
Other
2
Gravitational Collapse -- Cosmic Censorship -- Naked Singularities - Tolman-Bondi Models
Scientific paper
In a black-hole, the gravitational singularity at its centre is covered by an event horizon. This singularity is hidden from an observer who is far from the black-hole. On the other hand, a naked singularity is a gravitational singularity which is not covered by an event horizon, and is visible to a faraway observer. According to the cosmic censorship conjecture (COO) of Penrose, the general theory of relativity does not admit the formation of naked singularities in gravitational collapse. Recently, Dwivedi and Joshi, and others, have found examples of naked singularities in collapse. One such example has been described in their paper, Dwivedi & Joshi (1992). The singularities described in this paper are strong curvature naked singularities.
Unnikrishnan (1993) has claimed that these examples are unphysical. He claims that although a naked singularity does result in these models, it must be a weak naked singularity rather than being strong. (Weak and strong are technical terms referring to the rate at which curvature blows up, as the singularity is approached).
The purpose of the present reply is to point out the mistake made by Unnikrishnan (U) in his analysis, leading to his erroneous conclusion. We point out here that the principal claim made by U in his paper, (namely that the singularity in this model is weak when naked, and it is hidden when it is strong) is baseless because it is not supported by any mathematical derivation. In particular, we show that the class of solutions considered by him is completely different from that of Dwivedi and Joshi and some other naked strong curvature examples. Thus, U's objections have no mathematical or physical validity.
Joshi Pankaj S.
Singh Tajinder Pal
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