Ultrastatic spacetimes
General Relativity and Quantum Cosmology
2011-04-07 v2 Mathematical Physics
math.MP
Abstract
Several calculations in conformally static spacetimes rely on the introduction of an ultrastatic background. I describe the general properties of ultrastatic spacetimes, and then focus on the problem of whether a given spacetime can be ultrastatic, or conformally ultrastatic, in more than one way. I show that the first possibility arises iff the spacetime is a product containing a Minkowskian factor, and that the second arises iff the spatial sections are conformal to a product space.
Cite
@article{arxiv.1004.1714,
title = {Ultrastatic spacetimes},
author = {Sebastiano Sonego},
journal= {arXiv preprint arXiv:1004.1714},
year = {2011}
}
Comments
13 pages