Determinantal Born-Infeld Coupling of Gravity and Electromagnetism

Abstract

We study a Born-Infeld inspired model of gravity and electromagnetism in which both types of fields are treated on an equal footing via a determinantal approach in a metric-affine formulation. Though this formulation is a priori in conflict with the postulates of metric theories of gravity, we find that the resulting equations can also be obtained from an action combining the Einstein-Hilbert action with a minimally coupled nonlinear electrodynamics. As an example, the dynamics is solved for the charged static black hole.

12 pages, 1 figure

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• The Confrontation between General Relativity and Experiment
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Cited by in corpus (1)

• Non-metricity signatures on the Higgs boson signal strengths at the LHC