Structurally stable approximations to Friedmann-Lemaitre world models

Details Structurally stable approximations to Friedmann-Lemaitre world models Structurally stable approximations to Friedmann-Lemaitre world models

Feb 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983ap%26ss..90..313g&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 90, no. 2, Feb. 1983, p. 313-326.

Physics

21

Big Bang Cosmology, Energy Dissipation, Systems Stability, Thermodynamic Equilibrium, Viscosity, Banach Space, Differential Equations, Dynamic Models, Equivalence, Ideal Fluids, Infinity, Poincare Spheres, Projective Geometry, Space-Time Functions, Theoretical Physics, Topology

Scientific paper

Friedmann-Lemaître cosmology is briefly reviewed in terms of dynamical systems. It is demonstrated that in certain cases bulk viscosity dissipation structurally stabilizes Friedmann-Lemaître solutions. It turns out that, for Λ = 0, there are structurally stable solutions if ζ ≡ ɛ1/2, where ζ is the bulk viscosity coefficient. For Λ ≠ 0, structurally stable solutions are essentially those with ζ = const. The role of structural stability in physics and cosmology is shortly discussed.

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