Black hole solutions in mimetic Born-Infeld gravity

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.

9 pages, 5 figures, RevTex4

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Cited by in corpus (5)

• Magnetically charged black holes from non-linear electrodynamics and the Event Horizon Telescope
• Mimetic DBI Inflation in Confrontation with Planck2018 data
• Black hole solutions in modified gravity induced by quantum metric fluctuations
• Isotropic stellar model in mimetic theory
• Eddington-inspired-Born-Infeld tensorial instabilities neutralized in a quantum approach