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arXiv · 1710.10638

Black hole solutions in mimetic Born-Infeld gravity

Che-Yu Chen·Mariam Bouhmadi-López·Pisin Chen
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Abstract

The vacuum, static, and spherically symmetric solutions in the mimetic Born-Infeld gravity are studied. The mimetic Born-Infeld gravity is a reformulation of the Eddington-inspired-Born-Infeld (EiBI) model under the mimetic approach. Due to the mimetic field, the theory contains non-trivial vacuum solutions different from those in Einstein gravity. We find that with the existence of the mimetic field, the spacelike singularity inside a Schwarzschild black hole could be altered to a lightlike singularity, even though the curvature invariants still diverge at the singularity. Furthermore, in this case, the maximal proper time for a timelike radially-infalling observer to reach the singularity is found to be infinite.

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Che-Yu Chen, Mariam Bouhmadi-López, Pisin Chen. 2017-10-29. Black hole solutions in mimetic Born-Infeld gravity. https://doi.org/10.1140/epjc%2Fs10052-018-5556-z

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