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arXiv · 1507.03420

Exact Anisotropic Solutions of the Generalized TOV Equation

Nematollah Riazi·S. Sedigheh Hashemi·S. Naseh Sajadi·S. Shahrokh Assyaee
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Abstract

We explore gravitating relativistic spheres composed of an anisotropic, barotropic uid. We assume a bi-polytropic equation of state which has a linear and a power-law terms. The generalized Tolman-Oppenheimer-Volkoff (TOV) equation which describes the hydrostatic equilibrium is obtained. The full system of equations are solved for solutions which are regular at the origin and asymptotically flat. Conditions for the appearance of horizon and a basic treatment of stability are also discussed.

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Nematollah Riazi, S. Sedigheh Hashemi, S. Naseh Sajadi, S. Shahrokh Assyaee. 2015-07-13. Exact Anisotropic Solutions of the Generalized TOV Equation. https://doi.org/10.1139/cjp-2016-0365

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