Equivalence of Darmois-Israel and Distributional-Methods for Thin Shells in General Relativity
General Relativity and Quantum Cosmology
2009-10-28 v1
Abstract
A distributional method to solve the Einstein's field equations for thin shells is formulated. The familiar field equations and jump conditions of Darmois-Israel formalism are derived. A carefull analysis of the Bianchi identities shows that, for cases under consideration, they make sense as distributions and lead to jump conditions of Darmois-Israel formalism.
Keywords
Cite
@article{arxiv.gr-qc/9608029,
title = {Equivalence of Darmois-Israel and Distributional-Methods for Thin Shells in General Relativity},
author = {R. Mansouri and M. Khorrami},
journal= {arXiv preprint arXiv:gr-qc/9608029},
year = {2009}
}
Comments
17 pages Latex, no figures, to be published in Journ. Math. Phys