Qualitative properties of scalar-tensor theories of Gravity

Abstract

The qualitative properties of spatially homogeneous stiff perfect fluid and minimally coupled massless scalar field models within general relativity are discussed. Consequently, by exploiting the formal equivalence under conformal transformations and field redefinitions of certain classes of theories of gravity, the asymptotic properties of spatially homogeneous models in a class of scalar-tensor theories of gravity that includes the Brans-Dicke theory can be determined. For example, exact solutions are presented, which are analogues of the general relativistic Jacobs stiff perfect fluid solutions and vacuum plane wave solutions, which act as past and future attractors in the class of spatially homogeneous models in Brans-Dicke theory.

19 pages

References in corpus (4)

• Phase-plane analysis of Friedmann-Robertson-Walker cosmologies in Brans-Dicke gravity
• On the Asymptotic Behaviour of Cosmological Models in Scalar-Tensor Theories of Gravity
• Effects of anisotropy and spatial curvature on the pre-big bang scenario
• Spherical Curvature Inhomogeneities in String Cosmology

Cited by in corpus (10)

• Modified Gravity and Cosmology
• Cosmological dynamics of R^n gravity
• On the Past Asymptotic Dynamics of Non-minimally Coupled Dark Energy
• Area metric gravity and accelerating cosmology
• Supergravity in Two Spacetime Dimensions
• Stability of a modified Jordan-Brans-Dicke theory in the dilatonic frame
• Solution generating in scalar-tensor theories with a massless scalar field and stiff perfect fluid as a source
• Torsion and accelerating expansion of the universe in quadratic gravitation
• Qualitative analysis of a scalar-tensor theory with exponential potential
• Cosmological wave maps