Exact power-law family of duality-preserving nonlinear electrodynamics constructed via stress-tensor flows, with a causality no-go result showing only the undeformed Maxwell seed is causal in the relevant regime.
Black holes and causal nonlinear electrodynamics
4 Pith papers cite this work. Polarity classification is still indexing.
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abstract
For generic theories of nonlinear electrodynamics (NLED) we investigate the implications of (a)causality on spherically-symmetric solutions of the Einstein-NLED equations that are asymptotic to a Reissner-Nordstr\"om (RN) spacetime. Equal-charge dyonic RN black holes are shown to be exact, but unstable, solutions of (acausal) ``Born-type'' theories. For {\it all causal theories} it is shown that the metric is singular at the centre of symmetry and that it has at most two Killing horizons, implying at most three ``phases": RN-like or S(chwarzschild)-like black holes, and naked timelike singularities. For extreme RN-like black holes, including dyons, we give simple proofs of monotonicity conditions that imply a reduction of mass and entropy due to NLED interactions. We find that causality allows four qualitatively different phase-diagrams. One of the two with finite electromagnetic energy $\mathcal{E}_{\rm em}$ is the previously studied Born-Infeld-type, for which the zero-entropy limit of a ``small-charge" S-like black hole is a naked timelike singularity of mass $M=\mathcal{E}_{\rm em}$; we show that the spacetime geometry of this ``Born particle'' is that of the Bariola-Vilenkin global monopole.
years
2026 4verdicts
UNVERDICTED 4representative citing papers
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.
Magnetically charged regular black holes are excluded except for finely tuned couplings in nonminimally coupled EM-gravity theories.
Nonlinear electrodynamics allows Bertotti-Robinson geometries with unequal AdS2 and S2 radii and supports regular particle-like models plus generalized Bonnor-Melvin magnetic universes.
citing papers explorer
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Exact Relevant Stress-Tensor Flows and a Causality No-Go in Self-Dual Electrodynamics
Exact power-law family of duality-preserving nonlinear electrodynamics constructed via stress-tensor flows, with a causality no-go result showing only the undeformed Maxwell seed is causal in the relevant regime.
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Derivation of the Smarr formula from the Komar charge in Einstein-nonlinear electrodynamics theories and applications to regular black holes
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.
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Constraints on regular black holes with nonminimally coupled electromagnetic fields
Magnetically charged regular black holes are excluded except for finely tuned couplings in nonminimally coupled EM-gravity theories.
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Bertotti-Robinson and Bonnor-Melvin universes in nonlinear electrodynamics
Nonlinear electrodynamics allows Bertotti-Robinson geometries with unequal AdS2 and S2 radii and supports regular particle-like models plus generalized Bonnor-Melvin magnetic universes.