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Physical nature of the central singularity in spherical colapse

S. S. Deshingkar, I. H. Dwivedi, Pankaj S. Joshi

Open publisher page 53 citations

Abstract

We examine here the nature of the central singularity forming in the spherically symmetric collapse of a dust cloud and it is shown that this is always a strong curvature singularity where gravitational tidal forces diverge powerfully. An important consequence is that the nature of the naked singularity forming in the dust collapse turns out to be stable against the perturbations in the initial data from which the collapse commences.

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What this paper is about

We examine here the nature of the central singularity forming in the spherically symmetric collapse of a dust cloud and it is shown that this is always a strong curvature singularity where gravitational tidal forces diverge powerfully. An important consequence is that the nature of the naked singularity forming in the dust collapse turns out to be stable against the perturbations in the initial data from which the collapse commences.

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OpenAlex reports 53 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

We examine here the nature of the central singularity forming in the spherically symmetric collapse of a dust cloud and it is shown that this is always a strong curvature singularity where gravitational tidal forces diverge powerfully. An important consequence is that the nature of the naked singularity forming in the dust collapse turns out to be stable against the perturbations in the initial data from which the collapse commences.

Key concepts: Singularity, Naked singularity, Gravitational collapse, Classical mechanics, Physics, Curvature, Ring singularity, Geometry

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