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A Smarr formula for charged black holes in nonlinear electrodynamics
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It is well known that the Smarr formula does not hold for black holes in non-linear electrodynamics. The main reason for this is the fact that the trace of the energy momentum tensor for nonlinear electrodynamics does not vanish as it is for Maxwell's electrodynamics. Starting from the Komar integral, we derived a new Smarr-type formula for spherically symmetric static electrically charged black hole solutions in nonlinear electrodynamics. We show that this general formula is in agreement with some that are obtained for black hole solutions with nonlinear electrodynamics.
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Cited by 2 Pith papers
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Derivation of the Smarr formula from the Komar charge in Einstein-nonlinear electrodynamics theories and applications to regular black holes
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Constructing regular black holes from multi-polytropic equations of state
Two regular black hole metrics are derived from anisotropic multi-polytropic TOV equations; one reduces to the known Hayward geometry and the other is new, with repulsive-gravity regions outside the horizon for partic...
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