On limits of spacetimes -- a coordinate-free approach
General Relativity and Quantum Cosmology
2010-04-06 v1 Astrophysics
Abstract
A coordinate-free approach to limits of spacetimes is developed. The limits of the Schwarzschild metric as the mass parameter tends to 0 or are studied, extending previous results. Besides the known Petrov type D and 0 limits, three vacuum plane-wave solutions of Petrov type N are found to be limits of the Schwarzschild spacetime.
Keywords
Cite
@article{arxiv.gr-qc/9302005,
title = {On limits of spacetimes -- a coordinate-free approach},
author = {F. M. Paiva and M. J. Rebouças and M. A. H. MacCallum},
journal= {arXiv preprint arXiv:gr-qc/9302005},
year = {2010}
}
Comments
19 pp