Junction conditions and the propagation of isometries in general relativity
- 15 December 1983
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 28 (12) , 2987-2994
- https://doi.org/10.1103/physrevd.28.2987
Abstract
A set of junction conditions is stated in terms of the Newman-Penrose variables (tetrad vectors and spin coefficients). It is shown that these conditions are equivalent to those of Darmois and Lichnerowicz. As an example we study the matching of the Schwarzschild metric with an axially and reflection-symmetric metric. For this particular example we study the propagation of the Killing vectors and show how the propagation is conditioned by the fulfillment of the junction conditions.Keywords
This publication has 6 references indexed in Scilit:
- The complexification of a nonrotating sphere: An extension of the Newman–Janis algorithmJournal of Mathematical Physics, 1982
- Junction conditions in general relativityGeneral Relativity and Gravitation, 1981
- The contraction of gravitating spheresProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1964
- Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated systemProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1962
- An Approach to Gravitational Radiation by a Method of Spin CoefficientsJournal of Mathematical Physics, 1962
- Discontinuities in spherically symmetric gravitational fields and shells of radiationProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1958