A New 2+1 Dimensional Gravity Solution Coupled to Non Linear Electrodynamics with a Cosmological Constant

Abstract

A solution for the Einstein gravity coupled with non linear electrodynamics is introduced in 2+1 dimensions. Especially, in the case with a non-vanishing cosmological constant, we obtain a novel black hole solution. To find fundamental characters of the solution, radial null rays in the space-time described by the solution are investigated.