New Solutions of the $2+1$ Dimensional Einstein Gravity Coupled to Maxwell Power type Non Linear Electric field with Dilaton field

Abstract

New solutions are derived in the $2+1$ gravity which is coupled to $|\mathcal{F}{|}^k$ type non-linear electric field in Maxwell Power theory with dilaton field. We obtain consistent solutions in general $k$ case. We also investigate the behavior of the metric function with the space-time singularity. Then, we found some black hole solutions when the space-time has a singular point at $r=0$. Addition, we derive the Brown-York mass when the space-time represents black hole.

6 pages, 3 figures

References in corpus (1)

• $(2+1)$-dimensional charged black holes with scalar hair in Einstein-Power-Maxwell Theory