Example of affine collineation in the Robertson--Walker metric

Journal Article · Mon Sep 01 04:00:00 EDT 1986 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.527007· OSTI ID:5494685

Bedran, M L; Lesche, B

An affine collineation for the Robertson--Walker metric is found. It implies a condition on the metric that is compatible with Einstein's equations for a perfect fluid satisfying the Hawking--Ellis energy conditions. It is shown how the geodesics of the metric are obtained from the constant of motion associated to the affine collineation.

• Research Organization: Centro de Estudios Nucleares, Universidad Nacional Autonoma de Me-acute-accentxico, Circuito Exterior, C.U., 04510 Me-acute-accentxico, D. F., Mexico
• OSTI ID: 5494685
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 27:9; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIFFERENTIAL EQUATIONS
EINSTEIN FIELD EQUATIONS
ENERGY-MOMENTUM TENSOR
EQUATIONS
EQUATIONS OF MOTION
FIELD EQUATIONS
FIELD THEORIES
FLUID FLOW
GENERAL RELATIVITY THEORY
GEODESICS
IDEAL FLOW
METRICS
PARTIAL DIFFERENTIAL EQUATIONS
SPACE-TIME
SYMMETRY
TENSORS