An intrinsic characterization of spherically symmetric spacetimes
General Relativity and Quantum Cosmology
2012-04-19 v1
Abstract
We give the necessary and sufficient (local) conditions for a metric tensor to be a non conformally flat spherically symmetric solution. These conditions exclusively involve explicit concomitants of the Riemann tensor. As a direct application we obtain the {\em ideal} labeling of the Schwarzschild, Reissner-Nordstr\"om and Lema\^itre-Tolman-Bondi solutions.
Keywords
Cite
@article{arxiv.1005.1780,
title = {An intrinsic characterization of spherically symmetric spacetimes},
author = {Joan Josep Ferrando and Juan Antonio Sáez},
journal= {arXiv preprint arXiv:1005.1780},
year = {2012}
}
Comments
15 pages; submitted to Class. Quantum Grav.