On the sources of static plane symmetric vacuum space-times
General Relativity and Quantum Cosmology
2009-09-25 v1
Abstract
The static vacuum plane spacetimes are considered, which have two non-trivial solutions: The Taub solution and the Rindler solution. Imposed reflection symmetry, we find that the source for the Taub solution does not satisfy any energy conditions, which is consistent with previous studies, while the source for the Rindler solution satisfies the weak and strong energy conditions (but not the dominant one). It is argued that the counterpart of the Einstein theory to the gravitational field of a massive Newtonian plane should be described by the Rindler solution, which represents also a uniform gravitational field.
Keywords
Cite
@article{arxiv.gr-qc/9706071,
title = {On the sources of static plane symmetric vacuum space-times},
author = {M. F. A. da Silva and Anzhong Wang and N. O. Santos},
journal= {arXiv preprint arXiv:gr-qc/9706071},
year = {2009}
}