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

Understand

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.