Black plane solutions in four dimensional spacetimes

Details Black plane solutions in four dimensional spacetimes Black plane solutions in four dimensional spacetimes

1996-09-28

arxiv.org/abs/gr-qc/9609065v1

Phys.Rev.D54:4891-4898,1996

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1103/PhysRevD.54.4891

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-Nordstr\"{o}m 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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