Kaluza Ansatz applied to Eddington inspired Born-Infeld Gravity
Karan Fernandes, Amitabha Lahiri
TL;DR
This paper extends Eddington-inspired Born-Infeld gravity to five dimensions using Kaluza's approach, revealing nonlinear couplings between electromagnetism and curvature, and deriving corrections to the Reissner-Nordström solution.
Contribution
It introduces a novel five-dimensional formulation of Eddington-inspired Born-Infeld gravity via Kaluza's method, uncovering new nonlinear interactions.
Findings
Derived lowest order corrections to Reissner-Nordström metric
Identified nonlinear couplings between electromagnetic field and curvature
Extended gravity model to higher dimensions
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-Nordstr\"om metric and the electromagnetic field.
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