Kantowski--Sachs cosmological models approaching isotropy

Journal Article · Thu Nov 01 04:00:00 EST 1984 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.526076· OSTI ID:6301738

Weber, E

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), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 25:11; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

640106 -- Astrophysics &amp; Cosmology-- Cosmology
657003* -- Theoretical &amp; Mathematical Physics-- Relativity &amp; Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
ANISOTROPY
COSMOLOGICAL MODELS
ISOTROPY
MATHEMATICAL MODELS
SINGULARITY
THREE-DIMENSIONAL CALCULATIONS
TWO-DIMENSIONAL CALCULATIONS