In the rotating García-Díaz NLED black hole the Fresnel quartic factorizes into two optical metrics whose critical families project to distinct contours Γ+ and Γ- whose angular separation is generated by the constitutive response and redistributed by spin.
Fresnel analysis of the wave propagation in nonlinear electrodynamics
6 Pith papers cite this work. Polarity classification is still indexing.
6
Pith papers citing it
abstract
We study the wave propagation in nonlinear electrodynamical models. Particular attention is paid to the derivation and the analysis of the Fresnel equation for the wave covectors. For the class of general nonlinear Lagrangian models, we demonstrate how the originally quartic Fresnel equation factorizes, yielding the generic birefringence effect. We show that the closure of the effective constitutive (or jump) tensor is necessary and sufficient for the absence of birefringence, i.e., for the existence of a unique light cone structure. As another application of the Fresnel approach, we analyze the light propagation in a moving isotropic nonlinear medium. The corresponding effective constitutive tensor contains non-trivial skewon and axion pieces. For nonmagnetic matter, we find that birefringence is induced by the nonlinearity, and derive the corresponding optical metrics.
citation-role summary
background 1
citation-polarity summary
years
2026 6verdicts
UNVERDICTED 6roles
background 1polarities
background 1representative citing papers
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.
NLED alters photon propagation near magnetars, producing ~10% errors in inferred radii via ray-tracing and a minimal ~350 ns travel-time delay.
Analytic charged black holes in nonlinear electrodynamics with non-monotonic lapse functions support stable light rings and additional longer-lived quasinormal modes compared to Einstein gravity.
Generalized GHS-GM black hole with dilaton and monopole shows thermal stability increasing as scalar charge decreases and QNMs damping as black hole charge increases.
citing papers explorer
-
Constitutive birefringence and critical curves in the rotating Garc\'ia--D\'iaz black hole
In the rotating García-Díaz NLED black hole the Fresnel quartic factorizes into two optical metrics whose critical families project to distinct contours Γ+ and Γ- whose angular separation is generated by the constitutive response and redistributed by spin.
-
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
-
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.
-
Nonlinear electrodynamics in magnetars: systematic effects on radius constraints and timing analysis
NLED alters photon propagation near magnetars, producing ~10% errors in inferred radii via ray-tracing and a minimal ~350 ns travel-time delay.
-
Properties of black holes in non-linear electrodynamics
Analytic charged black holes in nonlinear electrodynamics with non-monotonic lapse functions support stable light rings and additional longer-lived quasinormal modes compared to Einstein gravity.
-
Thermal Stability and QNMs of a Hairy Black Hole in the Presence of a Monopole Field
Generalized GHS-GM black hole with dilaton and monopole shows thermal stability increasing as scalar charge decreases and QNMs damping as black hole charge increases.