English

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

General Relativity and Quantum Cosmology 2014-11-21 v3 High Energy Physics - Theory

Abstract

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.

Keywords

Cite

@article{arxiv.1005.2444,
  title  = {Five-dimensional vacuum Einstein spacetimes in C-metric like coordinates},
  author = {Wei Xu and Liu Zhao and Bin Zhu},
  journal= {arXiv preprint arXiv:1005.2444},
  year   = {2014}
}

Comments

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

R2 v1 2026-06-21T15:22:43.991Z