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

Abstract

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${}^{\ast }$ and Sagittarius A${}^{\ast }$ with our theoretical results allows us to set restrictions on the nonlinear parameters.

19 pages, 7 figures, updated to match the version accepted by JCAP

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Cited by in corpus (6)

• A Study of Black Holes in $F(R)-$ModMax Gravity: Gravitational Lensing and Constraints from EHT Observations
• Optical Signatures of Einstein-Euler-Heisenberg AdS/dS Black Holes in the light of Event Horizon Telescope
• Scattering and absorption of massless scalar waves by a ModMax black hole
• Qualitative analysis of a quasi-magnetic universe
• Nonlinear electrodynamics in magnetars: systematic effects on radius constraints and timing analysis
• Thermodynamics and optical aspects of ModMax black holes in higher order curvature gravity with quintessence dark energy