https://doi.org/10.1140/epjc/s10052-018-5556-z
Regular Article - Theoretical Physics
Black hole solutions in mimetic Born-Infeld gravity
1
Department of Physics and Center for Theoretical Sciences, National Taiwan University, Taipei, 10617, Taiwan
2
LeCosPA, National Taiwan University, Taipei, 10617, Taiwan
3
Department of Theoretical Physics, University of the Basque Country UPV/EHU, P.O. Box 644, 48080, Bilbao, Spain
4
IKERBASQUE, Basque Foundation for Science, 48011, Bilbao, Spain
5
Kavli Institute for Particle Astrophysics and Cosmology, SLAC National Accelerator Laboratory, Stanford University, Stanford, CA, 94305, USA
* e-mail: b97202056@gmail.com
Received:
4
November
2017
Accepted:
15
January
2018
Published online:
23
January
2018
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.
© The Author(s), 2018
