New vacuum solutions of conformal Weyl gravity
General Relativity and Quantum Cosmology
2009-10-31 v1
Abstract
The Bach equation, i.e., the vacuum field equation following from the Lagrangian L=C_{ijkl}C^{ijkl}, will be completely solved for the case that the metric is conformally related to the cartesian product of two 2-spaces; this covers the spherically and the plane symmetric space-times as special subcases. Contrary to other approaches, we make a covariant 2+2-decomposition of the field equation, and so we are able to apply results from 2-dimensional gravity. Finally, some cosmological solutions will be presented and discussed.
Cite
@article{arxiv.gr-qc/9908049,
title = {New vacuum solutions of conformal Weyl gravity},
author = {V. Dzhunushaliev and H. -J. Schmidt},
journal= {arXiv preprint arXiv:gr-qc/9908049},
year = {2009}
}
Comments
15 pages, LaTeX, no figures, submitted to J. Math. Phys