Qualitative analysis of cosmological models in Brans-Dicke theory, solutions from non-minimal coupling and viscous universe
Abstract
Using dynamical system theory we investigate homogeneous and isotropic models in Brans-Dicke theory for perfect fluids with general equation of state and arbitrary (omega). Phase diagrams are drawn on the Poincare sphere which permits a qualitative analysis of the models. Based on this analysis, we construct a method for generating classes of solutions in Brans-Dicke theory. The same technique is used for studying models arising from nonminimal coupling of electromagnetism with gravity. In addition, viscous fluids are considered and nonsingular solutions with bulk viscosity are found.
- Publication:
-
Ph.D. Thesis
- Pub Date:
- 1988
- Bibcode:
- 1988PhDT.........8R
- Keywords:
-
- Astronomical Models;
- Cosmology;
- Phase Diagrams;
- Qualitative Analysis;
- Universe;
- Viscous Flow;
- Electromagnetism;
- Gravitation;
- Isotropy;
- Mathematical Models;
- Astrophysics