Self-gravitating solutions in Yang-Mills-Chern-Simons theory coupled to 3D massive gravity

TL;DR

This paper explores self-gravitating solutions in 3D massive gravity coupled with Yang-Mills-Chern-Simons theory, including new black hole solutions and extensions with higher-curvature terms, relevant for WAdS3/CFT2 correspondence.

Contribution

It introduces new asymptotically Warped-AdS black hole solutions and extends the analysis to Einstein-Yang-Mills and higher-curvature theories in three dimensions.

Findings

Discovery of a family of asymptotically Warped-AdS black holes.

Construction of self-gravitating solutions in Einstein-Yang-Mills theory.

Extension to solutions with higher-curvature terms.

Abstract

We study self-gravitating solutions of 3-dimensional massive gravity coupled to Yang-Mills-Chern-Simons gauge theory. Among these, there is a family of asymptotically Warped-Anti de Sitter black holes that come to generalize previous solutions found in the literature and studied in the context of WAdS$_3$/CFT$_2$. We also present self-gravitating solutions to the 3-dimensional Einstein-Yang-Mills theory, as well as other self-gravitating solutions in the presence of higher-curvature terms.