On the motion of shells in general relativity

Citation
D. Nunez et H. Quevedo, On the motion of shells in general relativity, GEN RELAT G, 31(5), 1999, pp. 753-759
Citations number
5
Categorie Soggetti
Physics
Journal title
GENERAL RELATIVITY AND GRAVITATION
ISSN journal
00017701 → ACNP
Volume
31
Issue
5
Year of publication
1999
Pages
753 - 759
Database
ISI
SICI code
0001-7701(199905)31:5<753:OTMOSI>2.0.ZU;2-Y
Abstract
We use Lanczos equations to analyze the motion of shells in the gravitation al field of a spherically symmetric central body. A first integral of Israe l's matching conditions is used to show that the motion of the shell depend s on the equation of state of the shell matter. In particular, the case of a barotropic equation of state is analyzed. The question of how the type of motion determines the equation of state for the matter of the shell is als o investigated.