Four Parametric Regular Black Hole Solution

Details Four Parametric Regular Black Hole Solution Four Parametric Regular Black Hole Solution

2004-03-23

arxiv.org/abs/hep-th/0403229v2

Gen.Rel.Grav. 37 (2005) 635

Physics

High Energy Physics

High Energy Physics - Theory

RevTeX, 6 pages, minor changes

Scientific paper

10.1007/s10714-005-0050-y

We present a regular class of exact black hole solutions of Einstein equations coupled with a nonlinear electrodynamics source. For weak fields the nonlinear electrodynamics becomes the Maxwell theory, and asymptotically the solutions behave as the Reissner-Nordstr\"om one. The class is endowed with four parameters, which can be thought of as the mass $m$, charge $q$, and a sort of dipole and quadrupole moments $\alpha$ and $\beta$, respectively. For $\alpha \geq 3$, $\beta \geq 4$, and $|q| \leq 2 s_c m$ the corresponding solutions are regular charged black holes. For $\alpha=3$, they also satisfy the weak energy condition. For $\alpha=\beta=0$ we recover the Reissner-Nordstr\"om singular solution and for $\alpha=3$, $\beta=4$ the family includes a previous regular black hole reported by the authors.

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