Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2008-10-28
Int.J.Mod.Phys.A24:1631-1638,2009
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
9 pages, talk at Seventh Alexander Friedmann International Seminar on Gravitation and Cosmology
Scientific paper
10.1142/S0217751X09045133
We study the evolution of homogeneous and isotropic, flat cosmological models within the general scalar-tensor theory of gravity with arbitrary coupling function and potential and scrutinize its limit to general relativity. Using the methods of dynamical systems for the decoupled equation of the Jordan frame scalar field we find the fixed points of flows in two cases: potential domination and matter domination. We present the conditions on the mathematical form of the coupling function and potential which determine the nature of the fixed points (attractor or other). There are two types of fixed points, both are characterized by cosmological evolution mimicking general relativity, but only one of the types is compatible with the Solar System PPN constraints.
Jarv Laur
Kuusk Piret
Saal Margus
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