Collineations of Godel-type space-times
- 1 June 1992
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 33 (6) , 2258-2261
- https://doi.org/10.1063/1.529596
Abstract
Ricci collineations for Gödel-type space-times are studied. The members of this family of metrics admitting these symmetries are identified. It is shown that these space-times do not admit Homothetic vector fields. Also, the unique Affine Collineation, associated to Gödel-type space-times, is exhibited.Keywords
This publication has 10 references indexed in Scilit:
- Affine collineations in Riemannian spacesJournal of Mathematical Physics, 1991
- Ricci collineation vectors in fluid space-timesJournal of Mathematical Physics, 1990
- Affine collineations in space-timeJournal of Mathematical Physics, 1988
- Symmetries and conserved quantities in geodesic motionJournal of Mathematical Physics, 1986
- Isometries of homogeneous Gödel-type spacetimesPhysical Review D, 1985
- Homogeneity of Riemannian space-times of Gödel typePhysical Review D, 1983
- Homogeneous space-times of the Gödel typePhysical Review D, 1980
- On certain timelike symmetry properties and the evolution of matter field space-times that admit themGeneral Relativity and Gravitation, 1977
- Curvature Collineations: A Fundamental Symmetry Property of the Space-Times of General Relativity Defined by the Vanishing Lie Derivative of the Riemann Curvature TensorJournal of Mathematical Physics, 1969
- An Example of a New Type of Cosmological Solutions of Einstein's Field Equations of GravitationReviews of Modern Physics, 1949