Equivalence of Darmois-Israel and Distributional-Methods for Thin Shells in General Relativity
arXiv:gr-qc/9608029 · doi:10.1063/1.531740
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.
17 pages Latex, no figures, to be published in Journ. Math. Phys
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