English

A new special class of Petrov type D vacuum space-times in dimension five

General Relativity and Quantum Cosmology 2011-09-28 v1

Abstract

Using extensions of the Newman-Penrose and Geroch-Held-Penrose formalisms to five dimensions, we invariantly classify all Petrov type DD vacuum solutions for which the Riemann tensor is isotropic in a plane orthogonal to a pair of Weyl alligned null directions

Keywords

Cite

@article{arxiv.1102.3142,
  title  = {A new special class of Petrov type D vacuum space-times in dimension five},
  author = {Alfonso García-Parrado Gómez-Lobo and Lode Wylleman},
  journal= {arXiv preprint arXiv:1102.3142},
  year   = {2011}
}

Comments

4 pages, 1 table, no figures. Contribution to the proceedings of the Spanish Relativity Meeting 2010 held in Granada (Spain)