High-Speed Collapse of a Hollow Sphere of Type I Matter

Details High-Speed Collapse of a Hollow Sphere of Type I Matter High-Speed Collapse of a Hollow Sphere of Type I Matter

2008-11-11

arxiv.org/abs/0811.1634v1

Class.Quant.Grav.26:035007,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

20 pages, 3 figures

Scientific paper

10.1088/0264-9381/26/3/035007

In this paper, we study the dynamics of a hollow spherical matter collapsing with very large initial velocity. The spacetime is initially very similar to the Vaidya solution, and the deviations from this background are treated perturbatively. The equations of state for radial pressure $p_{\rm R}=k\rho$ and tangential one $p_{\rm T}=w\rho$ with constant $k$ and $w$ are assumed. We find for the case of equations of state $k< 1$ and $0

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