Bertotti-Robinson solutions of D=5 Einstein-Maxwell-Chern-Simons-Lambda theory

TL;DR

This paper introduces new five-dimensional Einstein-Maxwell-Chern-Simons solutions with various fluxes, including near-horizon geometries of black strings or rings, and constructs extremal multi-string solutions in flat spacetime.

Contribution

It provides a broad class of new solutions in 5D Einstein-Maxwell-Chern-Simons theory with arbitrary coupling and cosmological constant, extending known near-horizon and multi-string configurations.

Findings

Generalized Bertotti-Robinson solutions with fluxes

Potential descriptions of black ring horizons in AdS

Extremal multi-string solutions in flat space

Abstract

We present a series of new solutions in five-dimensional Einstein-Maxwell-Chern-Simons theory with an arbitrary Chern-Simons coupling $\gamma$ and a cosmological constant $\Lambda$. For general $\gamma$ and $\Lambda$ we give various generalizations of the Bertotti-Robinson solutions supported by electric and magnetic fluxes, some of which presumably describe the near-horizon regions of black strings or black rings. Among them there is a solution which could apply to the horizon of a topological AdS black ring in gauged minimal supergravity. Others are horizonless and geodesically complete. We also construct extremal asymptotically flat multi-string solutions for $\Lambda=0$ and arbitrary $\gamma$.