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Causality and Energy Conditions in Nonlinear Electrodynamics

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arxiv 2404.09994 v1 pith:XUQT7YBW submitted 2024-04-15 hep-th

Jorge G. Russo , Paul K. Townsend This is my paper · ORCID
classification hep-th
keywords causalityelectrodynamicsenergynledconditionimpliesnonlinearalone
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For the general theory of nonlinear electrodynamics (NLED), we prove that causality implies both the Dominant Energy Condition (DEC) and, surprisingly, the Strong Energy Condition (SEC). This has implications for gravitational applications, such as regular black holes supported by NLED matter. For self-dual NLED theories, weak-field causality alone implies both the DEC and SEC, as we illustrate with Born-Infeld and ModMax electrodynamics.

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Cited by 5 Pith papers

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  1. Excising Cauchy Horizons with Nonlinear Electrodynamics

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    For nonlinear electrodynamics with finite point-charge self-energy and strong energy condition, weakly charged black holes have Schwarzschild-like causal structure with no Cauchy horizon.

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    The regular-sector Casimir energy diverges as a magnetic background approaches a degenerate Lorentz-breaking vacuum, but the divergence is an artifact: the extraordinary mode vanishes when the degenerate condition is ...

  3. Causality Constraints on Black Hole Thermodynamics in Nonlinear Electrodynamics

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    Causality in nonlinear electrodynamics forces the entropy-to-mass-squared ratio of black holes to decrease with mass and the extremal mass-to-charge ratio to increase with charge.

  4. Quasibound states of a charged Dirac field around regular black holes

    gr-qc 2026-06 unverdicted novelty 5.0 of 10

    Charged massive Dirac quasibound modes on ABG black holes stay damped; ABG and RN share hydrogenic real frequencies, but ABG’s inner barrier can make some modes much longer-lived.

  5. Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models

    hep-th 2025-07 conditional novelty 5.0 of 10

    A single generating function encodes both 4D self-dual nonlinear electrodynamics and 2D integrable sigma models, and newly defined gamma flows preserve the root-T Tbar equation across generalized Born-Infeld, logarith...

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