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Black hole solutions in mimetic Born-Infeld gravity
Che-Yu Chen1,2, Mariam Bouhmadi-López3,4, Pisin Chen1,2,5
11Department of Physics and Center for Theoretical Sciences, National Taiwan University, Taipei, 10617 Taiwan.
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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