Study of the cosmological evolution of viscoelastic matter with causal thermodynamics

Mathematics – Logic

Scientific paper

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Astronomical Models, Cosmology, Thermodynamic Properties, Viscoelasticity, Einstein Equations, Isotropic Media, Propagation Velocity, Signal Analysis

Scientific paper

Cosmological solutions are studied, with dissipative processes taken into account by means of a viscoelastic description that excludes infinite signal-propagation velocities. An expansion of the thermodynamical functions up to second order in departures from equilibrium is used, and a Bianchi I model is considered. It is shown that the effect of matter creation near the initial singularity remains, as in the case of simple viscosity, while the effect of isotropization vanishes during contraction. The results also indicate that a cosmological singularity necessarily appears at some evolutionary stage but might be of a novel type associated with accumulation of elastic energy. The stability of Friedmann solutions near the singularity is analyzed and found to require superluminal signal propagation. It is concluded that Friedmann solutions near the singularity are unstable, since such superluminal signals cannot exist.

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