Spherical gravitational collapse: tangential pressure and related equations of state

Details Spherical gravitational collapse: tangential pressure and related equations of state Spherical gravitational collapse: tangential pressure and related equations of state

1999-01-28

arxiv.org/abs/gr-qc/9901080v1

Gen.Rel.Grav. 32 (2000) 697-717

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Latex, 26 pages

Scientific paper

We derive an equation for the acceleration of a fluid element in the spherical gravitational collapse of a bounded compact object made up of an imperfect fluid. We show that non-singular as well as singular solutions arise in the collapse of a fluid initially at rest and having only a tangential pressure. We obtain an exact solution of Einstein equations, in the form of an infinite series, for collapse under tangential pressure with a linear equation of state. We show that if a singularity forms in the tangential pressure model, the conditions for the singularity to be naked are exactly the same as in the model of dust collapse.

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