Potential dominated scalar-tensor cosmologies in the general relativity limit: phase space view
arXiv:1003.1686 · doi:10.1103/PhysRevD.81.104007
Abstract
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.
15 pages, 12 figures
References in corpus (12)
- Dynamics of dark energy
- Dark Energy and the Accelerating Universe
- Constraints on scalar-tensor models of dark energy from observational and local gravity tests
- Extended Quintessence with non-minimally coupled phantom scalar field
- Scalar-tensor cosmologies: fixed points of the Jordan frame scalar field
- Scalar-tensor cosmology at the general relativity limit: Jordan vs Einstein frame
- Attractor Universe in the Scalar-Tensor Theory of Gravitation
- Non-chaotic dynamics in general-relativistic and scalar-tensor cosmology
- Some Late-time Asymptotics of General Scalar-Tensor Cosmologies
- The dynamics of scalar-tensor cosmology from RS two-brane model
- Scalar-tensor cosmologies: general relativity as a fixed point of the Jordan frame scalar field
- Dynamical study of the singularities of gravity in the presence of non-minimally coupled scalar fields