# Magnetic Morris-Thorne wormhole in 2+1-dimensions

## TL;DR

This paper constructs traversable wormhole solutions in 2+1-dimensional gravity coupled with a specific nonlinear magnetic electrodynamics, highlighting the conditions for their existence and properties.

## Contribution

It introduces a new class of Morris-Thorne type wormholes in 2+1 dimensions using a nonlinear magnetic electrodynamics model with a square-root Lagrangian.

## Key findings

- Explicit wormhole solutions satisfying flare-out conditions
- The exotic energy density required for wormholes is derived
- Pure magnetic nonlinear electrodynamics trivially satisfies field equations

## Abstract

In the context of $2+1-$dimensional gravity coupled to a particular nonlinear electrodynamics (NED), 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 $\sqrt{F_{\mu \nu }F^{\mu \nu }}$ 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.