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Regular black holes with a nonlinear electrodynamics source

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arxiv 1408.0306 v2 pith:2EVWQMU2 submitted 2014-08-01 gr-qc hep-th

Regular black holes with a nonlinear electrodynamics source

classification gr-qc hep-th
keywords weakblackfieldholelimitmaxwellregularcondition
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 include other regular black hole solutions that satisfy the weak energy condition and some of them correspond to the Maxwell theory in the weak field limit.

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