2017
DOI: 10.1016/j.physletb.2017.09.044
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(2 + 1)-dimensional regular black holes with nonlinear electrodynamics sources

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… Show more

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Cited by 35 publications
(29 citation statements)
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“…After integration with the relation A t (r) = ∞ r E(x)dx [34], we can get the non-vanishing component of the vector potential…”
Section: Energy and Momentum Of An Absorbed Fermionmentioning
confidence: 99%
“…After integration with the relation A t (r) = ∞ r E(x)dx [34], we can get the non-vanishing component of the vector potential…”
Section: Energy and Momentum Of An Absorbed Fermionmentioning
confidence: 99%
“…Another example is the black hole solutions found by using the noncommutative geometry [10]. There have recently been many studies on nonlinear electrodynamics in the black holes [11][12][13][14][15][16][17][18][19][20].…”
Section: Introductionmentioning
confidence: 99%
“…A class of regular black holes with non-linear electrodynamic sources was proposed by He and Ma in Ref. [6]. The corresponding action is given by,…”
Section: Regular 2+1-dimensional Black Holesmentioning
confidence: 99%
“…In this paper, we will consider two static regular black hole solutions presented in Ref. [6] by He and Ma. They are referred to as case II and case III in the paper and we will follow the same name for the two black holes.…”
Section: Regular 2+1-dimensional Black Holesmentioning
confidence: 99%