Gravitationally Collapsing Shells in (2+1) Dimensions
Sep, 200627 pages
Published in:
- Phys.Rev.D 74 (2006) 124016,
- Phys.Rev.D 77 (2008) 129902 (erratum)
e-Print:
- gr-qc/0609094 [gr-qc]
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Abstract: (arXiv)
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.Note:
- 27 pages, Latex, 11 figures, typos corrected, references added, minor amendments in introduction and conclusion introdu
- 04.70.Bw
- 04.20.Jb
- 04.60.Kz
- gravitation: collapse
- space-time: anti-de Sitter
- gas: Chaplygin
- black hole: de Sitter
- dimension: 3
- singularity
- effective potential
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