2014
DOI: 10.1103/physrevd.90.124045
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Regular black holes with a nonlinear electrodynamics source

Abstract: We construct several charged regular black hole metrics employing mass distribution functions which are inspired by continuous probability distributions. Some of these metrics satisfy the weak energy condition and asymptotically behave as the Reissner--Nordstrom black hole. In each case, the source to the Einstein equations corresponds to a nonlinear electrodynamics model, which in the weak field limit becomes the Maxwell theory (compatible with the Maxwell weak field limit or approximation). Furthermore, we i… Show more

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Cited by 308 publications
(254 citation statements)
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“…We can now specify some models for M (r), which is commonly done for regular black holes in GR [28]. Taking a simple model M (r) = me −q 2 /(2mr) , with m ∈ ℜ + , we can see that the black holes horizon is given by g 11 (r H ) = e −b(rH ) = 0, with…”
Section: Fixing A(r)mentioning
confidence: 99%
“…We can now specify some models for M (r), which is commonly done for regular black holes in GR [28]. Taking a simple model M (r) = me −q 2 /(2mr) , with m ∈ ℜ + , we can see that the black holes horizon is given by g 11 (r H ) = e −b(rH ) = 0, with…”
Section: Fixing A(r)mentioning
confidence: 99%
“…Recently, Balart and Vagenas [64] constructed a number of new charged, nonsingular, and spherically symmetric, four-dimensional black hole solutions with a nonlinear electrodynamics source. Indeed, start with the static and spherically symmetric space-time geometry described by the line element:…”
Section: The New Charged Nonsingular Black Hole Solution With a Nonlimentioning
confidence: 99%
“…Here, following up that work, we adopt another distribution function given in [64] that is inspired by the form of the probability density function of the continuous logistic distribution [66], such that…”
Section: The New Charged Nonsingular Black Hole Solution With a Nonlimentioning
confidence: 99%
“…Secondly, we take the metric function from [6] and [16] with the electric charge q e f 2 (r) = 1 − 2m r e − q 2 e 2mr .…”
Section: B Regular Black Hole Solution-2mentioning
confidence: 99%