Spherically Symmetric Gravitational Collapse

Details Spherically Symmetric Gravitational Collapse Spherically Symmetric Gravitational Collapse

2008-12-03

arxiv.org/abs/0812.0646v1

Mod.Phys.Lett.A24:1533-1542,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, 4 figures, accepted for publication in Mod. Phys. Lett. A

Scientific paper

10.1142/S0217732309030072

In this paper, we discuss gravitational collapse of spherically symmetric spacetimes. We derive a general formalism by taking two arbitrary spherically symmetric spacetimes with $g_{00}=1$. Israel's junction conditions are used to develop this formalism. The formulae for extrinsic curvature tensor are obtained. The general form of the surface energy-momentum tensor depending on extrinsic curvature tensor components is derived. This leads us to the surface energy density and the tangential pressure. The formalism is applied to two known spherically symmetric spacetimes. The results obtained show the regions for the collapse and expansion of the shell.

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