Born-Infeld Electrogravity and Dyonic Black Holes
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| Format: | Preprint |
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2025
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| _version_ | 1866917430758998016 |
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| author | Acuña, Guadalupe Ahumada Bejarano, Cecilia Ferraro, Rafael |
| author_facet | Acuña, Guadalupe Ahumada Bejarano, Cecilia Ferraro, Rafael |
| contents | 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. Remarkably, in the small-charge limit, Born--Infeld electrogravity admits a fundamental extremal black hole whose mass and horizon area are determined exclusively by the Born--Infeld and Newton constants and the speed of light. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2511_05273 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Born-Infeld Electrogravity and Dyonic Black Holes Acuña, Guadalupe Ahumada Bejarano, Cecilia Ferraro, Rafael General Relativity and Quantum Cosmology High Energy Physics - Theory 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. Remarkably, in the small-charge limit, Born--Infeld electrogravity admits a fundamental extremal black hole whose mass and horizon area are determined exclusively by the Born--Infeld and Newton constants and the speed of light. |
| title | Born-Infeld Electrogravity and Dyonic Black Holes |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2511.05273 |