Equivalence of Darmois-Israel and Distributional-Methods for Thin Shells in General Relativity

Details Equivalence of Darmois-Israel and Distributional-Methods for Thin Shells in General Relativity Equivalence of Darmois-Israel and Distributional-Methods for Thin Shells in General Relativity

1996-08-13

arxiv.org/abs/gr-qc/9608029v1

J.Math.Phys. 37 (1996) 5672-5683

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages Latex, no figures, to be published in Journ. Math. Phys

Scientific paper

10.1063/1.531740

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.

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