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Spherical gravitational collapse: tangential pressure and related equations of state

Sukratu Barve·T. P. Singh·Louis Witten
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Abstract

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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Sukratu Barve, T. P. Singh, Louis Witten. 1999-01-28. Spherical gravitational collapse: tangential pressure and related equations of state. https://doi.org/10.1023/a%3A1001919219247

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