Stability of inflationary solutions driven by a changing dissipative fluid

Abstract

In this paper the second Lyapunov method is used to study the stability of the de Sitter phase of cosmic expansion when the source of the gravitational field is a viscous fluid. Different inflationary scenarios related with reheating and decay of mini-blackholes into radiation are investigated using an effective fluid described by time--varying thermodynamical quantities.

17 pages, LaTeX 2.09, 2 figures. To be published in Classical and Quantum Gravity

References in corpus (4)

• Cosmological solutions with nonlinear bulk viscosity
• Inhomogeneous Pre-Big Bang String Cosmology
• Dissipative cosmological solutions
• New cosmological solutions and stability analysis in full extended thermodynamics

Cited by in corpus (11)

• Enlarged quintessence cosmology
• Plane-Symmetric Inhomogeneous Bulk Viscous Cosmological Models with Variable $\Lambda$
• Bulk Viscous Solutions to the Field Equations and the Deceleration Parameter-Revisited
• Stability analysis of cosmological models through Liapunov's method
• Plane-symmetric inhomogeneous magnetized viscous fluid universe with a variable $\Lambda$
• Cosmic expansion with matter creation and bulk viscosity
• Some Inhomogeneous Magnetized Viscous Fluid Cosmological Models with Varying $\Lambda$
• Stable Inflationary Dissipative Cosmologies
• Relaxation versus collision times in the cosmological radiative era
• A non-singular early-time viscous cosmological model
• Shear viscosity, relaxation and collision times in spherically symmetric spacetimes