The Nuts and Bolts of Einstein-Maxwell Solutions

TL;DR

This paper constructs new non-supersymmetric, horizonless solutions in five-dimensional supergravity with specific asymptotic charges, using Euclidean Einstein-Maxwell bases, and discusses their higher-dimensional brane interpretations.

Contribution

It introduces novel non-supersymmetric solutions in five-dimensional supergravity based on Euclidean Einstein-Maxwell bases, expanding the landscape of known solutions.

Findings

Solutions are regular and horizonless.

Solutions have the same charges as non-extremal black holes.

Includes a family based on dyonic Kerr-Newman-NUT base.

Abstract

We find new non-supersymmetric solutions of five-dimensional ungauged supergravity coupled to two vector multiplets. The solutions are regular, horizonless and have the same asymptotic charges as non-extremal charged black holes. An essential ingredient in our construction is a four-dimensional Euclidean base which is a solution to Einstein-Maxwell equations. We construct stationary solutions based on the Euclidean dyonic Reissner-Nordstrom black hole as well as a six-parameter family with a dyonic Kerr-Newman-NUT base. These solutions can be viewed as compactifications of eleven-dimensional supergravity on a six-torus and we discuss their brane interpretation.