Simple Black Holes with Anisotropic Fluid

Abstract

We study a spherically symmetric spacetime made of anisotropic fluid of which radial equation of state is given by $p_1=-\rho$. This provides analytic solutions and a good opportunity to study the static configuration of black hole plus matter. For a given equation-of-state parameter $w_2=p_2/\rho$ for angular directions, we find exact solutions of the Einstein's equation described by two parameters. We classify the solution into six types based on the behavior of the metric function. Depending on the parameters, the solution can have event and cosmological horizons. Out of these, one type corresponds to a generalization of the Reissiner-Nordström black hole, for which the thermodynamic properties are obtained in simple forms. The solutions are stable under radial perturbations.

9 pages, 1 figures, to appear in Chinese Physics C

References in corpus (7)

• Charged anisotropic matter with linear equation of state
• Neutron stars structure in the context of massive gravity
• A note on singular and non-singular black holes
• Traversable wormholes sustained by an extra spatial dimension
• Relativistic anisotropic stars with the polytropic equation of state in general relativity
• A New Class of Anisotropic Charged Compact Star
• Self-force of a scalar charge in the space-time of extreme charged anti-dilatonic wormhole

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