Black hole solutions in functional extensions of Born-Infeld gravity

C. Bambi, D. Rubiera-Garcia, Y. Wang

Abstract
We consider electrovacuum black hole spacetimes in classical extensions of Eddington-inspired Born-Infeld gravity. By rewriting the Born-Infeld action as the square root of the determinant of a matrix Ω ^ , we consider the family of models f (|Ω ^|) and study black hole solutions for a power-law family of models labeled 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 pointlike singularity. We go forward to argue that in such cases a geodesically complete and, thus, nonsingular spacetime is present, despite the existence of curvature divergences at the wormhole throat.

Physical Review D
Volume 94
September 2016

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