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arXiv · 1702.05201

Cohomogeneity-1 solutions in Einstein-Maxwell-dilaton gravity

Yen-Kheng Lim
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Abstract

The field equations for Einstein-Maxwell-dilaton gravity in $D$ dimensions are reduced to an effective one-dimensional system under the influence of exponential potentials. Various cases where exact solutions can be found are explored. With this procedure, we present interesting solutions such as a one-parameter generalisation of the dilaton-Melvin spacetime and a three-parameter solution that interpolates between the Reissner-Nordstr\"{o}m and Bertotti-Robinson solution. This procedure also allows simple, alternative derivations of known solutions such as the Lifshitz spacetime and the planar Anti-de Sitter naked singularity. In the latter case, the metric is cast in a simpler form which reveals the presence of an additional curvature singularity.

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Yen-Kheng Lim. 2017-02-17. Cohomogeneity-1 solutions in Einstein-Maxwell-dilaton gravity. https://doi.org/10.1103/physrevd.95.104008

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