THE SOURCES OF THE A-DEGENERATE AND B-DEGENERATE STATIC VACUUM FIELDS

Authors
Citation
Map. Martins, THE SOURCES OF THE A-DEGENERATE AND B-DEGENERATE STATIC VACUUM FIELDS, General relativity and gravitation, 28(11), 1996, pp. 1309-1320
Citations number
10
Categorie Soggetti
Physics
ISSN journal
00017701
Volume
28
Issue
11
Year of publication
1996
Pages
1309 - 1320
Database
ISI
SICI code
0001-7701(1996)28:11<1309:TSOTAA>2.0.ZU;2-C
Abstract
We study some known static vacuum solutions of Einstein's equations, n amely, the A and B metrics of Ehlers and Kundt. Ail of them have axial symmetry, so they can be transformed to the Weyl form. In Weyl coordi nates log root-g(44) obeys a Laplace equation, and from this a source, called the Newtonian image source, can be identified. We use the imag e sources to give a possible interpretation to the metrics. The proced ure is successful in some cases. In others it fails because the Weyl t ransform does not have reasonable properties at infinity.