New cosmological solutions and stability analysis in full extended thermodynamics
Luis P. Chimento, Alejandro S. Jakubi, Vicen\c{c} M\'endez
TL;DR
This paper derives new exact solutions for dissipative FRW cosmologies using causal transport equations and analyzes their stability, providing insights into the dynamics of the universe with extended thermodynamics.
Contribution
It introduces novel solutions in full extended thermodynamics and assesses their stability, advancing understanding of cosmological models with dissipative fluids.
Findings
New exact solutions for dissipative FRW universes
Stability of de Sitter and Friedmann solutions established
Application of Lyapunov method for stability analysis
Abstract
The Einstein's field equations of FRW universes filled with a dissipative fluid described by full theory of causal transport equations are analyzed. New exact solutions are found using a non-local transformations on the nonlinear differential equation for the Hubble factor. The stability of the de Sitter and asymptotically friedmannian solutions are analyzed using Lyapunov function method.
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