RIGIDLY ROTATING STATIONARY CYLINDRICALLY SYMMETRICAL PERFECT FLUID MODELS

Authors
NILSSON US UGGLA C
Citation
Us. Nilsson et C. Uggla, RIGIDLY ROTATING STATIONARY CYLINDRICALLY SYMMETRICAL PERFECT FLUID MODELS, Classical and quantum gravity, 14(10), 1997, pp. 2931-2945
Citations number
14
Categorie Soggetti
Physics
Journal title
Classical and quantum gravity → ACNP
ISSN journal
02649381
Volume
14
Issue
10
Year of publication
1997
Pages
2931 - 2945
Database
ISI
SICI code
0264-9381(1997)14:10<2931:RRSCSP>2.0.ZU;2-P
Abstract
Einstein's field equations for rigidly rotating stationary Bianchi typ e I models are investigated, focusing on the cylindrically symmetric c ases. The equations are rewritten as a first-order system of autonomou s ordinary differential equations arid dimensionless variables are int roduced such that the reduced phase space is compact. The system is th en studied qualitatively using the theory of dynamical systems. The cy lindrically symmetric submanifold is studied in detail.