Null Geodesic Expansion in Spherical Gravitational Collapse

Details Null Geodesic Expansion in Spherical Gravitational Collapse Null Geodesic Expansion in Spherical Gravitational Collapse

1997-11-17

arxiv.org/abs/gr-qc/9711049v1

Phys.Rev. D58 (1998) 024004

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, Latex File, No figures

Scientific paper

10.1103/PhysRevD.58.024004

We derive an expression for the expansion of outgoing null geodesics in spherical dust collapse and compute the limiting value of the expansion in the approach to singularity formation. An analogous expression is derived for the spherical collapse of a general form of matter. We argue on the basis of these results that the covered as well as the naked singularity solutions arising in spherical dust collapse are stable under small changes in the equation of state.

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