Black plane solutions in four dimensional spacetimes

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.

8 pages, RevTex, to appear in Phys. Rev. D

References in corpus (3)

• Spinning Black Holes in (2+1)-dimensional String and Dilaton Gravity
• On Some New Black String Solutions in Three Dimensions
• Domain Wall Spacetimes: Instability of Cosmological Event and Cauchy Horizons

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