Two regular black hole metrics are derived from anisotropic multi-polytropic TOV equations; one reduces to the known Hayward geometry and the other is new, with repulsive-gravity regions outside the horizon for particular parameter choices.
Exact Anisotropic Solutions of the Generalized TOV Equation
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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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Constructing regular black holes from multi-polytropic equations of state
Two regular black hole metrics are derived from anisotropic multi-polytropic TOV equations; one reduces to the known Hayward geometry and the other is new, with repulsive-gravity regions outside the horizon for particular parameter choices.