Kaluza Ansatz applied to Eddington inspired Born-Infeld Gravity

Abstract

We apply Kaluza's procedure to Eddington-inspired Born-Infeld action in gravity in five dimensions. The resulting action contains, in addition to the usual four-dimensional actions for gravity and electromagnetism, nonlinear couplings between the electromagnetic field strength and curvature. Considering the spherically symmetric solution as an example we find the lowest order corrections for the Reissner-Nordström metric and the electromagnetic field.

arXiv commentV2: 19pp. New section on solution, equivalence of metric and metric-affine theories shown explicitly, convention about numerical factors changed

References in corpus (15)

• Electric-Magnetic Duality Rotations in Non-Linear Electrodynamics
• Eddington's theory of gravity and its progeny
• Born-Infeld-Einstein Actions?
• Palatini approach to Born-Infeld-Einstein theory and a geometric description of electrodynamics
• New insights on the matter-gravity coupling paradigm
• Surface singularities in Eddington-inspired Born-Infeld gravity
• Cosmology with Eddington-inspired Gravity
• Born-Infeld-Einstein theory with matter
• Eddington-Born-Infeld gravity and the large scale structure of the Universe
• Gravity a la Born-Infeld
• Determinant-Gravity: Cosmological implications
• Gravitational Analogues of Non-linear Born Electrodynamics
• Born-Regulated Gravity in Four Dimensions
• ``Good Propagation'' Constraints on Dual Invariant Actions in Electrodynamics and on Massless Fields
• Hamiltonian Electric/Magnetic Duality and Lorentz Invariance

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• Born-Infeld gravity coupled to Born-Infeld electrodynamics
• Constraints on Born-Infeld gravity from the speed of gravitational waves after GW170817 and GRB 170817A
• Bianchi type I cosmological models in Eddington-inspired Born-Infeld gravity
• Mass inflation in Eddington-inspired Born-Infeld black holes: analytical scaling solutions
• Born-Infeld cosmology with scalar Born-Infeld matter
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• Geodesically complete BTZ-type solutions of $2+1$ Born-Infeld gravity
• Singular Instantons in Eddington-inspired-Born-Infeld Gravity
• Regular Instantons in the Eddington-inspired-Born-Infeld Gravity: Lorentzian Wormholes from Bubble Nucleations
• Born-Infeld gravity with a Brans-Dicke scalar
• Electrovacuum solutions in non-local gravity
• Eddington-inspired-Born-Infeld tensorial instabilities neutralized in a quantum approach