Ricci-Based Gravity theories and their impact on Maxwell and nonlinear electromagnetic models

Abstract

We extend the correspondence between metric-affine Ricci-Based Gravity theories and General Relativity (GR) to the case in which the matter sector is represented by linear and nonlinear electromagnetic fields. This complements previous studies focused on fluids and scalar fields. We establish the general algorithm that relates the matter fields in the GR and RBG frames and consider some applications. In particular, we find that the so-called Eddington-inspired Born-Infeld gravity theory coupled to Maxwell electromagnetism is in direct correspondence with GR coupled to Born-Infeld electromagnetism. We comment on the potential phenomenological implications of this relation.

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Cited by in corpus (34)

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• Parity Violating Metric-Affine Gravity Theories
• Minimal coupling in presence of non-metricity and torsion
• Effects of Born-Infeld electrodynamics on black hole shadows
• Geometric inequivalence of metric and Palatini formulations of General Relativity
• Gravity and $T\bar{T}$ flows in higher dimensions
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• An infinite class of exact rotating black hole metrics of modified gravity
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• The role of longitudinal polarizations in Horndeski and macroscopic gravity: Introducing gravitational plasmas
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