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Black plane solutions in four dimensional spacetimes

Rong-Gen Cai·Yuan-Zhong Zhang
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Abstract

The static, plane symmetric solutions and cylindrically symmetric solutions of Einstein-Maxwell equations with a negative cosmological constant are investigated. These black configurations are asymptotically anti-de Sitter not only in the transverse directions, but also in the membrane or string directions. Their causal structure is similar to that of Reissner-Nordström black holes, but their Hawking temperature goes with $M^{1/3}$, where $M$ is the ADM mass density. We also discuss the static plane solutions in Einstein-Maxwell-dilaton gravity with a Liouville-type dilaton potential. The presence of the dilaton field changes drastically the structure of solutions. They are asymptotically ``anti-de Sitter'' or ``de Sitter'' depending on the parameters in the theory.

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Rong-Gen Cai, Yuan-Zhong Zhang. 1996-09-28. Black plane solutions in four dimensional spacetimes. https://doi.org/10.1103/physrevd.54.4891

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