Generalized regularly discontinuous solutions of the Einstein equations
General Relativity and Quantum Cosmology
2008-11-26 v1
Abstract
The physical consistency of the match of piecewise- metrics is discussed. The mathematical theory of gravitational discontinuity hypersurfaces is generalized to cover the match of regularly discontinuous metrics. The mean-value differential geometry framework on a hypersurface is introduced, and corresponding compatibility conditions are deduced. Examples of generalized boundary layers, gravitational shock waves and thin shells are studied.
Cite
@article{arxiv.0704.0103,
title = {Generalized regularly discontinuous solutions of the Einstein equations},
author = {Gianluca Gemelli},
journal= {arXiv preprint arXiv:0704.0103},
year = {2008}
}
Comments
26 pages.