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arXiv · 2511.05273

Born-Infeld Electrogravity and Dyonic Black Holes

Guadalupe Ahumada Acuña·Cecilia Bejarano·Rafael Ferraro
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Abstract

Born-Infeld electrogravity is defined through a Lagrangian that couples gravity and electromagnetism within a single determinantal structure. The field equations are derived in Palatini's formalism, where the metric, connection, and vector potential are varied independently in the action. As a result, the gravitational sector reduces to Einstein's equations with a torsion-free, metric-compatible connection. The electrodynamic sector, in turn, admits two equivalent interpretations or $pictures$: it can be seen either as a standard Born-Infeld electrodynamics in an effective background geometry, or as an $anomalous$ Born-Infeld electrodynamics in the physical metric. We illustrate the dynamics by analyzing the horizon structure, the extremality conditions, and the thermodynamics of spherically symmetric dyonic solutions.

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Guadalupe Ahumada Acuña, Cecilia Bejarano, Rafael Ferraro. 2025-11-07. Born-Infeld Electrogravity and Dyonic Black Holes. https://doi.org/10.1088/1361-6382%2Fae9114

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