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arXiv · 1608.04873

Black hole solutions in functional extensions of Born-Infeld gravity

Cosimo Bambi·D. Rubiera-Garcia·Yixu Wang
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Abstract

We consider electrovacuum black hole spacetimes in classical extensions of Eddington-inspired Born-Infeld gravity. By rewriting Born-Infeld action as the square root of the determinant of a matrix $\hat{\Omega}$, we consider the family of models $f (|\hat{\Omega}|)$, and study black hole solutions for a power-law family of models labelled by a simple parameter. We show how the innermost structure of the corresponding black holes is modified as compared to their General Relativity counterparts, discussing in which cases a wormhole structure replaces the point-like singularity. We go forward to argue that in such cases a geodesically complete and thus non-singular spacetime is present, despite the existence of curvature divergences at the wormhole throat.

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Cosimo Bambi, D. Rubiera-Garcia, Yixu Wang. 2016-08-17. Black hole solutions in functional extensions of Born-Infeld gravity. https://doi.org/10.1103/physrevd.94.064002

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