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Smarr's formula for black holes with non-linear electrodynamics

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arxiv gr-qc/0405116 v1 pith:DZOM75Z3 submitted 2004-05-21 gr-qc

Nora Breton This is my paper · ORCID
classification gr-qc
keywords blackformulaholesmarrelectrodynamicsnonlinearsolutionayon-beato
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It is known that for nonlinear electrodynamics the First Law of Black Hole Mechanics holds, however the Smarr's formula for the total mass does not. In this contribution we discuss the point and determine the corresponding expressions for the Bardeen black hole solution that represents a nonlinear magnetic monopole. The same is done for the regular black hole solution derived by Ayon-Beato and Garcia, showing that in the case that variations of the electric charge are involved, the Smarr's formula does not longer is valid.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Derivation of the Smarr formula from the Komar charge in Einstein-nonlinear electrodynamics theories and applications to regular black holes

    gr-qc 2026-05 unverdicted novelty 7.0 of 10

    Derives Smarr formula from generalized Komar charge in 4D Einstein-NLED theories by treating coupling constant as dynamical field, and analyzes thermodynamics of regular Bardeen black hole.

  2. Rotating Black Holes in Einstein-Born-Infeld Theory

    gr-qc 2025-07 conditional novelty 7.0 of 10

    Exact rotating charged Einstein-Born-Infeld black holes are constructed numerically; they show charge-dependent extremal or naked-singularity endpoints, gyromagnetic ratio above 2, and ISCO radii below Kerr-Newman values.

  3. Regular Black Holes in General Relativity from Nonlinear Electrodynamics with de Sitter Cores

    gr-qc 2026-04 unverdicted novelty 6.0 of 10

    Two new regular black-hole solutions with de Sitter cores, supported by magnetic nonlinear electrodynamics, are constrained by Sgr A* shadows and shown to be linearly stable under scalar perturbations.

  4. Two-scale magnetically charged regular black holes from nonlinear electrodynamics and a T-duality-inspired zero-point length

    gr-qc 2026-08 conditional novelty 5.0 of 10

    A two-parameter regular black hole family is constructed, with an explicit nonlinear electrodynamics source, exact thermodynamic identities, and analytic shadow and plasma-lensing predictions.

  5. Field Sources for Dark Matter Black Holes

    gr-qc 2026-05 unverdicted novelty 5.0 of 10

    Dark matter halo profiles admit effective nonlinear electrodynamics completions that source regular black holes exhibiting de Sitter cores for finite central density and Schwarzschild asymptotics.

  6. Black bounce sourced by non-minimally coupled linear electrodynamics and a canonical scalar field through a thin shell at the throat

    gr-qc 2026-08 conditional novelty 4.0 of 10

    A new family of black bounce and wormhole solutions in general relativity is constructed from a canonical scalar field non-minimally coupled to linear electrodynamics, with the required energy-condition violation conf...

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