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

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 $\gamma$.

17 pages, revtex4

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• Covariant Quiver Gauge Theories
• Bertotti-Robinson solutions in five--dimensional quadratic gravity
• Hairy black hole solutions in a three-dimensional Galileon model
• Bertotti-Robinson and soliton string solutions of $D=5$ minimal supergravity