Magnetic Morris-Thorne wormhole in 2+1-dimensions

Abstract

In the context of 2 + 1-dimensional gravity coupled to a particular nonlinear electrodynamics, we obtain a class of traversable/ Morris-Thorne type wormhole solutions. The problem is reduced to a single function dependence in which the shape function acts as generator to the wormholes. The field ansatz is pure magnetic and the nonlinear Lagrangian is root F mu nu F mu nu i.e., the square root of the Maxwell Lagrangian. In 2 + 1-dimensions the source-free pure magnetic non-linear Maxwell equation with square-root Lagrangian is trivially satisfied. The exotic energy density is found explicitly and the flare-out conditions are emphasized.