Stability of inflationary solutions driven by a changing dissipative fluid. (English) Zbl 0934.83055
Summary: 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 to reheating and decay of mini-black holes into radiation are investigated using an effective fluid described by time-varying thermodynamical quantities.
MSC:
83F05 | Relativistic cosmology |
83C55 | Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) |
83C20 | Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory |