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arXiv · gr-qc/0010027

Gravitational Collapse and Cosmological Constant

S. S. Deshingkar·S. Jhingan·A. Chamorro·P. S. Joshi
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Abstract

We consider here the effects of a non-vanishing cosmological term on the final fate of a spherical inhomogeneous collapsing dust cloud. It is shown that depending on the nature of the initial data from which the collapse evolves, and for a positive value of the cosmological constant, we can have a globally regular evolution where a bounce develops within the cloud. We characterize precisely the initial data causing such a bounce in terms of the initial density and velocity profiles for the collapsing cloud. In the cases otherwise, the result of collapse is either formation of a black hole or a naked singularity resulting as the end state of collapse. We also show here that a positive cosmological term can cover a part of the singularity spectrum which is visible in the corresponding dust collapse models for the same initial data.

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S. S. Deshingkar, S. Jhingan, A. Chamorro, P. S. Joshi. 2000-10-08. Gravitational Collapse and Cosmological Constant. https://doi.org/10.1103/physrevd.63.124005

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