Gravitationally Collapsing Shells in (2+1) Dimensions

Details Gravitationally Collapsing Shells in (2+1) Dimensions Gravitationally Collapsing Shells in (2+1) Dimensions

2006-09-21

arxiv.org/abs/gr-qc/0609094v2

Phys.Rev.D74:124016,2006; Erratum-ibid.D77:129902,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

27 pages, Latex, 11 figures, typos corrected, references added, minor amendments in introduction and conclusion introdu

Scientific paper

10.1103/PhysRevD.74.124016

We study gravitationally collapsing models of pressureless dust, fluids with pressure, and the generalized Chaplygin gas (GCG) shell in (2+1)-dimensional spacetimes. Various collapse scenarios are investigated under a variety of the background configurations such as anti-de Sitter(AdS) black hole, de Sitter (dS) space, flat and AdS space with a conical deficit. As with the case of a disk of dust, we find that the collapse of a dust shell coincides with the Oppenheimer-Snyder type collapse to a black hole provided the initial density is sufficiently large. We also find -- for all types of shell -- that collapse to a naked singularity is possible under a broad variety of initial conditions. For shells with pressure this singularity can occur for a finite radius of the shell. We also find that GCG shells exhibit diverse collapse scenarios, which can be easily demonstrated by an effective potential analysis.

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