Causal nonlinear electrodynamics forces a singular center and at most three phases for RN-asymptotic black holes, with monotonicity proofs showing reduced mass and entropy for extreme dyonic cases.
On causality in nonlinear vacuum electrodynamics of the Pleba\'nski class
7 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We investigate the Pleba\'nski class of electrodynamical theories, i.e., theories of nonlinear vacuum electrodynamics that derive from a Lorentz-invariant Lagrangian (or Hamiltonian). In any such theory the light rays are the lightlike geodesics of two optical metrics that depend on the electromagnetic background field. A set of necessary and sufficient conditions is found whose fulfillment secures that the optical metrics are causal in the sense that the light rays are lightlike or timelike with respect to the underlying space-time metric. Thereupon we derive conditions on the Lagrangian, or the Hamiltonian, of the theory such that the causality conditions are satisfied for all background fields. (The allowed values of the field strength tensor are those for which the excitation tensor is finite and real.) The general results are illustrated with several examples.
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Casimir energies in nonlinear theories are obtained from an effective metric given by the Hessian of the Lagrangian (scalar case) or branch-wise for ordinary/extraordinary modes (nonlinear EM), with exact agreement between direct summation and the formula when a constant magnetic background is prese
The degeneracy of the constraint structure at nontrivial magnetic vacua follows from the constitutive origin of the effective Hamiltonian as complementary energy at fixed D.
The authors adapt heat kernel techniques to non-minimal operators and compute DeWitt coefficients a0, a1, a2 to leading order in weak background fields for general NLED, plus exact a0 for conformal theories, with causality comments for convergence.
Decomposition of the linear magnetoelectric tensor into trace, symmetric-traceless, and antisymmetric sectors reveals distinct propagation signatures, with the trace sector silent, the antisymmetric sector factorizing into closed-form speeds, and the symmetric-traceless sector controlling the Fresel
In Plebański nonlinear electrodynamics, Casimir energy diverges approaching Lorentz-breaking magnetic vacua in the regular sector, but this signals noncommutativity of quantization and symmetry-breaking imposition rather than physical divergence at the exact vacuum.
An auxiliary-field construction with Born-Infeld seed produces causal self-dual NLED models that solve the self-duality equation and relate to prior Russo-Townsend work.
citing papers explorer
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Black holes and causal nonlinear electrodynamics
Causal nonlinear electrodynamics forces a singular center and at most three phases for RN-asymptotic black holes, with monotonicity proofs showing reduced mass and entropy for extreme dyonic cases.
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Effective-metric formulation of Casimir energies in nonlinear scalar and electromagnetic theories
Casimir energies in nonlinear theories are obtained from an effective metric given by the Hessian of the Lagrangian (scalar case) or branch-wise for ordinary/extraordinary modes (nonlinear EM), with exact agreement between direct summation and the formula when a constant magnetic background is prese
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Constitutive Origin of Hamiltonian Degeneracy in Nonlinear Electrodynamics with Spontaneous Lorentz Symmetry Breaking
The degeneracy of the constraint structure at nontrivial magnetic vacua follows from the constitutive origin of the effective Hamiltonian as complementary energy at fixed D.
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Heat kernel approach to the one-loop effective action for nonlinear electrodynamics
The authors adapt heat kernel techniques to non-minimal operators and compute DeWitt coefficients a0, a1, a2 to leading order in weak background fields for general NLED, plus exact a0 for conformal theories, with causality comments for convergence.
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Propagation-based classification of linear magnetoelectric response in dielectrics
Decomposition of the linear magnetoelectric tensor into trace, symmetric-traceless, and antisymmetric sectors reveals distinct propagation signatures, with the trace sector silent, the antisymmetric sector factorizing into closed-form speeds, and the symmetric-traceless sector controlling the Fresel
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Casimir effect near spontaneously Lorentz-breaking magnetic vacua in Pleba\'nski nonlinear electrodynamics
In Plebański nonlinear electrodynamics, Casimir energy diverges approaching Lorentz-breaking magnetic vacua in the regular sector, but this signals noncommutativity of quantization and symmetry-breaking imposition rather than physical divergence at the exact vacuum.
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Causal self-dual nonlinear electrodynamics from the Born-Infeld theory
An auxiliary-field construction with Born-Infeld seed produces causal self-dual NLED models that solve the self-duality equation and relate to prior Russo-Townsend work.