COSMIC STRINGS IN BIANCHI-III SPACETIME - INTEGRABLE CASES

Citation
Sd. Maharaj et al., COSMIC STRINGS IN BIANCHI-III SPACETIME - INTEGRABLE CASES, Pramana, 44(6), 1995, pp. 511-518
Citations number
23
Categorie Soggetti
Physics
Journal title
ISSN journal
03044289
Volume
44
Issue
6
Year of publication
1995
Pages
511 - 518
Database
ISI
SICI code
0304-4289(1995)44:6<511:CSIBS->2.0.ZU;2-1
Abstract
We investigate the integrability of cosmic strings in Bianchi III spac etime using a symmetry analysis. The behaviour of the model is reduced to the solution of a single second order nonlinear differential equat ion. We show that this equation has a rich structure and admits an inf inite family of solutions. Our class of solutions extends special case s previously obtained by Tikekar and Patel [Gen. Relativ. Gravit. 24, 397 (1992)].