Potential dominated scalar-tensor cosmologies in the general relativity limit: phase space view

Details Potential dominated scalar-tensor cosmologies in the general relativity limit: phase space view Potential dominated scalar-tensor cosmologies in the general relativity limit: phase space view

2010-03-08

arxiv.org/abs/1003.1686v1

Phys.Rev.D81:104007,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, 12 figures

Scientific paper

10.1103/PhysRevD.81.104007

We consider the potential dominated era of Friedmann-Lemaitre-Robertson-Walker flat cosmological models in the framework of general Jordan frame scalar-tensor theories of gravity with arbitrary coupling functions, and focus upon the phase space of the scalar field. To study the regime suggested by the local weak field tests (i.e. close to the so-called limit of general relativity) we propose a nonlinear approximation scheme, solve for the phase trajectories, and provide a complete classification of possible phase portraits. We argue that the topology of trajectories in the nonlinear approximation is representative of those of the full system, and thus can tell for which scalar-tensor models general relativity functions as an attractor.

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