A COMMENT ON JUNCTION AND ENERGY CONDITIONS IN THIN SHELLS

Citation
Ds. Goldwirth et J. Katz, A COMMENT ON JUNCTION AND ENERGY CONDITIONS IN THIN SHELLS, Classical and quantum gravity, 12(3), 1995, pp. 769-777
Citations number
9
Categorie Soggetti
Physics
ISSN journal
02649381
Volume
12
Issue
3
Year of publication
1995
Pages
769 - 777
Database
ISI
SICI code
0264-9381(1995)12:3<769:ACOJAE>2.0.ZU;2-9
Abstract
This paper contains a suggestion for a slight modification of Israel's covariant formulation of junction conditions between two spacetimes, placing both sides on equal footing with normals having uniquely defin ed orientations. The signs of mass-energy densities in thin shells at the junction depend not only on the orientations of the normals and it is useful therefore to discuss the signs separately. Calculations gai n in clarity by not choosing orientations in advance. Simple examples illustrate our point and complete previous classifications of spherica l thin shells in spherically symmetric spacetimes relevant to cosmolog y.