"Self-dual" solutions of topologically massive gravity coupled with the Maxwell-Chern-Simons theory

TL;DR

This paper presents a class of exact solutions in (2+1)-dimensional topologically massive gravity coupled with Maxwell-Chern-Simons theory, under a self-duality condition on the Maxwell field.

Contribution

It introduces a new class of exact solutions with a self-duality condition in the coupled gravity and gauge field system.

Findings

Exact solutions satisfying self-duality in the coupled system

Extension of known solutions to include Maxwell-Chern-Simons coupling

Potential implications for lower-dimensional gravity models

Abstract

We give a general class of exact solutions to the (1+2)-dimensional topologically massive gravity model coupled with Maxwell-Chern-Simons theory where a "self-duality" condition is imposed on the Maxwell field.