On a regular charged black hole with a nonlinear electric source

Hristu Culetu

doi:10.1007/s10773-015-2521-6

paper

On a regular charged black hole with a nonlinear electric source

arXiv:1408.3334 · doi:10.1007/s10773-015-2521-6

Abstract

A modified version of the Reissner-Nordstrom metric is proposed on the grounds of the nonlinear electrodynamics model. The source of curvature is an anisotropic fluid with $p_{r} = - ρ$ which resembles the Maxwell stress tensor at $r >> q^{2} /2 m$ , where $q$ and $m$ are the mass and charge of the particle, respectively. We found the black hole horizon entropy obeys the relation $S = ∣ W ∣/2 T = A_{H} /4$ , with $W$ the Komar energy and $A_{H}$ the horizon area. The electric field around the source depends not only on its charge but also on its mass. The corresponding electrostatic potential $Φ (r)$ is finite everywhere, vanishes at the origin and at $r = q^{2} /6 m$ and is nonzero asymptotically, with $Φ_{\infty} = 3 m /2 q$ .

11 pages, four figures, footnote updated, Int. J. Theor. Phys. (2015), 54: 2855 - 2863

On a regular charged black hole with a nonlinear electric source

Abstract

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