On the Levi-Civita solutions with cosmological constant
General Relativity and Quantum Cosmology
2009-10-31 v1
Abstract
The main properties of the Levi-Civita solutions with the cosmological constant are studied. In particular, it is found that some of the solutions need to be extended beyond certain hypersurfaces in order to have geodesically complete spacetimes. Some extensions are considered and found to give rise to black hole structure but with plane symmetry. All the spacetimes that are not geodesically complete are Petrov type D, while in general the spacetimes are Petrov type I.
Keywords
Cite
@article{arxiv.gr-qc/9911013,
title = {On the Levi-Civita solutions with cosmological constant},
author = {M. F. A. da Silva and Anzhong Wang and Filipe M. Paiva and N. O. Santos},
journal= {arXiv preprint arXiv:gr-qc/9911013},
year = {2009}
}
Comments
Typed in Revtex, including two figures. To appear in Phys. Rev. D