Conformal symmetry classes for pp-wave spacetimes
General Relativity and Quantum Cosmology
2013-08-09 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We determine conformal symmetry classes for the pp-wave spacetimes. This refines the isometry classification scheme given by Sippel and Goenner (1986 {\it Gen. Rel. Grav.} {\bf 18} 1229). It is shown that every conformal Killing vector for the null fluid type pp-wave spacetimes is a conformal Ricci collineation. The maximum number of proper non-special conformal Killing vectors in a type pp-wave spacetime is shown to be three, and we determine the form of a particular set of type pp-wave spacetimes admitting such conformal Killing vectors. We determine the conformal symmetries of each type isometry class of Sippel and Goenner and present new isometry classes.
Keywords
Cite
@article{arxiv.1308.1683,
title = {Conformal symmetry classes for pp-wave spacetimes},
author = {Aidan J Keane and Brian O J Tupper},
journal= {arXiv preprint arXiv:1308.1683},
year = {2013}
}
Comments
Equation (10) corrected. Table 2, Class Div, orbit dimension corrected