Five-dimensional vacuum Einstein spacetimes in C-metric like coordinates

Details Five-dimensional vacuum Einstein spacetimes in C-metric like coordinates Five-dimensional vacuum Einstein spacetimes in C-metric like coordinates

2010-05-14

arxiv.org/abs/1005.2444v3

Mod. Phys. Lett. A25:2727-2743,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages, 3 figures. Minor modifications, version appeared in Mod. Phys. Lett. A

Scientific paper

A 5-dimensional Einstein spacetime with (non)vanishing cosmological constant is analyzed in detail. The metric is in close analogy with the 4-dimensional massless uncharged C-metric in many aspects. The coordinate system, horizons and causal structures, relations to standard de Sitter, anti de Sitter and Minkowski vacua are investigated. After a boost and Kaluza-Klein reduction, we get an exact solution of 4-dimensional Einstein-Maxwell-Liouville theory which reduces to a solution to Einstein-Liouville theory in the limit of zero boost velocity and to that of Einstein-Maxwell-diliton theory in the case of zero cosmological constant.

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