Kantowski--Sachs cosmological models approaching isotropy
Journal Article
·
· J. Math. Phys. (N.Y.); (United States)
In this article we analyze a particular class of anisotropic cosmological models, the Kantowski--Sachs models, in the presence of a nonzero cosmological constant ..lambda... We study them qualitatively by means of autonomous systems with two and three dimensions. The plane autonomous system gives a new class of empty Kantowski--Sachs cosmologies, with ..lambda..>0 and ..lambda..<0. We find two new types of singularity points. The autonomous system with three dimensions yields a set of solutions of nonzero measure becoming isotropic in an infinite cosmological time.
- Research Organization:
- Institut de Physique Theorique, Universite Catholique de Louvain, B-1348-Louvain-la-Neuve, Belgium Universite du Burundi, Bujumbura, Burundi
- OSTI ID:
- 6301738
- Journal Information:
- J. Math. Phys. (N.Y.); (United States), Vol. 25:11
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COSMOLOGICAL MODELS
ISOTROPY
ANALYTICAL SOLUTION
ANISOTROPY
SINGULARITY
THREE-DIMENSIONAL CALCULATIONS
TWO-DIMENSIONAL CALCULATIONS
MATHEMATICAL MODELS
657003* - Theoretical & Mathematical Physics- Relativity & Gravitation
640106 - Astrophysics & Cosmology- Cosmology
GENERAL PHYSICS
COSMOLOGICAL MODELS
ISOTROPY
ANALYTICAL SOLUTION
ANISOTROPY
SINGULARITY
THREE-DIMENSIONAL CALCULATIONS
TWO-DIMENSIONAL CALCULATIONS
MATHEMATICAL MODELS
657003* - Theoretical & Mathematical Physics- Relativity & Gravitation
640106 - Astrophysics & Cosmology- Cosmology