Black hole solutions in functional extensions of Born-Infeld gravity
arXiv:1608.04873 · doi:10.1103/PhysRevD.94.064002
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 , we consider the family of models , 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.
13 pages, 5 figures. Minor changes in v2
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