Hyperextended Scalar-Tensor Gravity

Abstract

We study a general Scalar-Tensor Theory with an arbitrary coupling funtion $\omega (\varphi )$ but also an arbitrary dependence of the ``gravitational constant'' $G(\varphi )$ in the cases in which either one of them, or both, do not admit an analytical inverse, as in the hyperextended inflationary scenario. We present the full set of field equations and study their cosmological behavior. We show that different scalar-tensor theories can be grouped in classes with the same solution for the scalar field.

latex file, To appear in Physical Review D

References in corpus (3)

• Massless Fileds in Scalar-Tensor Cosmologies
• Scalar-Tensor Cosmological Models
• Constraints on the Scalar-Tensor theories of gravitation from Primordial Nucleosynthesis

Cited by in corpus (19)

• Quintessence, super-quintessence and observable quantities in Brans-Dicke and non-minimally coupled theories
• de Sitter space and the equivalence between f(R) and scalar-tensor gravity
• Solar System experiments do not yet veto modified gravity models
• Some aspects of the cosmological conformal equivalence between ``Jordan Frame'' and ``Einstein Frame''
• Conformal aspects of Palatini approach in Extended Theories of Gravity
• Boson Stars in General Scalar-Tensor Gravitation: Equilibrium Configurations
• A program for a problem free Cosmology within a framework of a rich class of scalar tensor theories
• Breakdown of the initial value formulation of scalar-tensor gravity and its physical meaning
• Generalized Slow Roll Conditions and the Possibility of Intermediate Scale Inflation in Scalar-Tensor Theory
• The horizon-entropy increase law for causal and quasi-local horizons and conformal field redefinitions
• Asymptotic and Exact Solutions of Perfect-Fluid Scalar-Tensor Cosmologies
• Exact Cosmological Solutions in Modified Brans-Dicke Theory
• Connection Dynamics for Higher Dimensional Scalar-Tensor Theories of Gravity
• Sufficient conditions for curvature invariants to avoid divergencies in Hyperextended Scalar Tensor theory for Bianchi models
• Isotropisation of flat homogeneous Bianchi type I model with a non minimally coupled and massive scalar field
• Loop quantum cosmological dynamics of scalar-tensor theory in the Jordan frame
• Gravitational memory of natural wormholes
• Dynamical study of the hyperextended scalar-tensor theory in the empty Bianchi type I model
• A reciprocal Wald theorem for varying gravitational function