Black hole solutions in mimetic BornInfeld gravity
Abstract
The vacuum, static, and spherically symmetric solutions in the mimetic BornInfeld gravity are studied. The mimetic BornInfeld gravity is a reformulation of the EddingtoninspiredBornInfeld (EiBI) model under the mimetic approach. Due to the mimetic field, the theory contains nontrivial 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 radiallyinfalling observer to reach the singularity is found to be infinite.
 Publication:

European Physical Journal C
 Pub Date:
 January 2018
 DOI:
 10.1140/epjc/s100520185556z
 arXiv:
 arXiv:1710.10638
 Bibcode:
 2018EPJC...78...59C
 Keywords:

 General Relativity and Quantum Cosmology;
 Astrophysics  Cosmology and Nongalactic Astrophysics;
 High Energy Physics  Theory
 EPrint:
 9 pages, 5 figures, RevTex4