2017
DOI: 10.1007/s10714-017-2209-8
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Nonlinear electrodynamics and regular black holes

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Cited by 32 publications
(18 citation statements)
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“…The electric field vanishes as r → 0 and r → ∞ and achieves its maximum E c at r c (see figure 2). In order to get information the nature of r c , see [65] and the reference therein. The limit of Ricci and Kretschmann scalar K 1 = R abcd R abcd for metric (7) when r → 0 are…”
Section: Basic Equationsmentioning
confidence: 99%
“…The electric field vanishes as r → 0 and r → ∞ and achieves its maximum E c at r c (see figure 2). In order to get information the nature of r c , see [65] and the reference therein. The limit of Ricci and Kretschmann scalar K 1 = R abcd R abcd for metric (7) when r → 0 are…”
Section: Basic Equationsmentioning
confidence: 99%
“…It is worth mentioning that such regular black holes are not vacuum solutions of the Einstein field equations. These regular solutions often include a special class of nonlinear electrodynamics violating energy conditions in the vicinity of the black hole [2]- [8]. Till date there has been a lot of significant work in regular solutions of gravitating systems [9]- [19].…”
Section: Introductionmentioning
confidence: 99%
“…After their pioneering work, the subsequent ideas presented by Bardeen, 6 Dymnikova,7 Ayón-Beato and García 8 and Bronnikov 9,10 have been closely followed in order to obtain regular BH solutions, many of them employing nonlinear electrodynamics as an appropriate matter source (see, for example, Ref. 11 and references therein). Regarding the plausibility of these regular BH solutions, the energy conditions play an important role.…”
Section: Introductionmentioning
confidence: 99%