Comparative of light propagation in Born-Infeld, Euler-Heisenberg and ModMax nonlinear electrodynamics

We compare light propagation through an intense electromagnetic background as described by three different nonlinear electrodynamics: Born-Infeld (BI), Euler-Heisenberg (EH), and Modified Maxwell (MM). We use the concept of effective metric to determine the phase velocities of a propagating wave fro...

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Bibliographic Details
Published in:arXiv.org 2024-10
Main Authors: Guzman-Herrera, Elda, Montiel, Ariadna, Breton, Nora
Format: Article
Language:English
Subjects:
Electrodynamics
Parameter modification
Relativity
Shadows
Wave propagation
Online Access:Get full text
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Summary:We compare light propagation through an intense electromagnetic background as described by three different nonlinear electrodynamics: Born-Infeld (BI), Euler-Heisenberg (EH), and Modified Maxwell (MM). We use the concept of effective metric to determine the phase velocities of a propagating wave from the BI and EH nonlinear electrodynamics and use them to set constraints on the MM nonlinear parameter. In a second part of the paper, we consider the black hole solutions of the nonlinear electrodynamics coupled with General Relativity and determine the shadows cast by the static black holes. Confronting the observations of the shadows of M87\(^*\) and Sagittarius A\(^*\) with our theoretical results allows us to set restrictions on the nonlinear parameters.
ISSN:2331-8422
DOI:10.48550/arxiv.2407.21326