Abstract
In this study, we derive, in the framework of mimetic theory, charged and non-charged black hole solutions for spherically symmetric as well as flat horizon spacetimes. The asymptotic behavior of those black holes behave as flat or (A)dS spacetimes and coincide with the solutions derived before in general relativity theory. Using the field equations of non-linear electrodynamics mimetic theory we derive new black hole solutions with monopole and quadrupole terms. The quadruple term of those black holes is related by a constant so that its vanishing makes the solutions coincide with the linear Maxwell black holes. We study the singularities of those solutions and show that they possess stronger singularity than the ones known in general relativity. Among many things, we study the horizons as well as the heat capacity to see if the black holes derived in this study have thermodynamical stability or not.
Highlights
General Relativity (GR) is believed to be an interesting theory which permits the construction of black holes [1,2,3]
It is of interest to note that Equation (48) is an exact solution to the non-linear Maxwell-mimetic gravitational theory that is given by Equations (35) and (36) as well as to the trace given by Equation (40)
We investigate the physical singularities by calculating some of the curvature invariants in the non-linear electrodynamics, see (42) and (48)
Summary
General Relativity (GR) is believed to be an interesting theory which permits the construction of black holes [1,2,3]. Other modifications of the mimetic theory have been constructed, for example by involving the vector-tensor mimetic gravity [61], bi-scalar mimetic models [62], the one that considers the limiting curvature hypothesis to solve the problems of the cosmological singularity [63,64] and the braneworld mimetic gravity [65]. The regular multi-horizon black holes in the Einstein gravity, f ( R) gravity coupled with non-linear electrodynamics have been investigated [70].
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
