Determinantal Born-Infeld Coupling of Gravity and Electromagnetism
arXiv:2112.09978 · doi:10.1103/PhysRevD.105.084067
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.
arXiv comment12 pages, 1 figure
References in corpus (14)
- The Confrontation between General Relativity and Experiment
- Palatini Approach to Modified Gravity: f(R) Theories and Beyond
- On Born-Infeld Gravity in Weitzenbock spacetime
- Eddington's theory of gravity and its progeny
- Born-Infeld-Einstein Actions?
- Born-Infeld inspired modifications of gravity
- Palatini approach to Born-Infeld-Einstein theory and a geometric description of electrodynamics
- Ghosts in metric-affine higher order curvature gravity
- Instabilities in Metric-Affine Theories of Gravity
- Born-Infeld-Einstein theory with matter
- What is a singular black hole beyond General Relativity?
- Minimal coupling in presence of non-metricity and torsion
- Variational principle and boundary terms in gravity à la Palatini
- Born-Infeld electrostatics in the complex plane