Spherical Gravitational Collapse: Tangential Pressure and Related Equations of State |
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Authors: | Sukratu Barve T. P. Singh Louis Witten |
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Affiliation: | (1) Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai, 400005, India;(2) Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai, 400005, India;(3) Department of Physics, University of Cincinnati, Cincinnati, Ohio 45221-0011, USA |
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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 the 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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Keywords: | Cosmic censorship spherical collapse tangential pressure |
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