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.

V2: 19pp. New section on solution, equivalence of metric and metric-affine theories shown explicitly, convention about numerical factors changed

References in corpus (3)

• Surface singularities in Eddington-inspired Born-Infeld gravity
• Cosmology with Eddington-inspired Gravity
• Eddington-Born-Infeld gravity and the large scale structure of the Universe

Cited by in corpus (7)

• Lorentzian wormholes in Eddington-inspired Born-Infeld gravity
• Black hole solution and strong gravitational lensing in Eddington-inspired Born-Infeld gravity
• Bianchi type I cosmological models in Eddington-inspired Born-Infeld gravity
• Geodesically complete BTZ-type solutions of $2+1$ Born-Infeld gravity
• Singular Instantons in Eddington-inspired-Born-Infeld Gravity
• Born-Infeld gravity with a Brans-Dicke scalar
• Eddington-inspired-Born-Infeld tensorial instabilities neutralized in a quantum approach