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arXiv · 1709.09473

$(2+1)$-dimensional regular black holes with nonlinear electrodynamics sources

Yun He·Meng-Sen Ma
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Abstract

On the basis of two requirements: the avoidance of the curvature singularity and the Maxwell theory as the weak field limit of the nonlinear electrodynamics, we find two restricted conditions on the metric function of $(2+1)$-dimensional regular black hole in general relativity coupled with nonlinear electrodynamics sources. By the use of the two conditions, we obtain a general approach to construct $(2+1)$-dimensional regular black holes. In this manner, we construct four $(2+1)$-dimensional regular black holes as examples. We also study the thermodynamic properties of the regular black holes and verify the first law of black hole thermodynamics.

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Yun He, Meng-Sen Ma. 2017-09-27. $(2+1)$-dimensional regular black holes with nonlinear electrodynamics sources. https://doi.org/10.1016/j.physletb.2017.09.044

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