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arXiv · 0803.2946

Higher-dimensional charged black holes solutions with a nonlinear electrodynamics source

Mokhtar Hassaine·Cristian Martinez
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Abstract

We obtain electrically charged black hole solutions of the Einstein equations in arbitrary dimensions with a nonlinear electrodynamics source. The matter source is deriving from a Lagrangian given by an arbitrary power of the Maxwell invariant. The form of the general solution suggests a natural partition for the different ranges of this power. For a particular range, we exhibit a class of solutions whose behavior resemble to the standard Reissner-Nordstrom black holes. There also exists a range for which the black hole solutions approach asymptotically the Minkowski spacetime slower than the Schwarzschild spacetime. We have also found a family of not asymptotically flat black hole solutions with an asymptotic behavior growing slower than the Schwarzschild (anti) de Sitter spacetime. In odd dimensions, there exists a critical value of the exponent for which the metric involves a logarithmic dependence. This critical value corresponds to the transition between the standard behavior and the solution decaying to Minkowski slower than the Schwarzschild spacetime.

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Mokhtar Hassaine, Cristian Martinez. 2008-08-21. Higher-dimensional charged black holes solutions with a nonlinear electrodynamics source. https://doi.org/10.1088/0264-9381%2F25%2F19%2F195023

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