Static forms of the Robertson-Walker spacetimes
General Relativity and Quantum Cosmology
2007-05-23 v1
Abstract
It is shown that only the maximally-symmetric spacetimes can be expressed in both the Robertson-Walker form and in static form - there are no other static forms of the Robertson-Walker spacetimes. All possible static forms of the metric of the maximally-symmetric spacetimes are presented as a table. The findings are generalized to apply to functionally more general spacetimes: it is shown that the maximally symmetric spacetimes are also the only spacetimes that can be written in both orthogonal-time isotropic form and in static form.
Keywords
Cite
@article{arxiv.0704.3265,
title = {Static forms of the Robertson-Walker spacetimes},
author = {M. Ibison},
journal= {arXiv preprint arXiv:0704.3265},
year = {2007}
}