A reciprocal Wald theorem for varying gravitational function

Abstract

We study when a cosmological constant is a natural issue if it is mimicked by the potential of a massive Hyperextended Scalar Tensor theory with a perfect fluid for Bianchi type I and V models. We then deduce a reciprocal Wald theorem giving the conditions such that the potential tends to a non vanishing constant when the gravitational function varies. We also get the conditions allowing the potentiel to vanish or diverge.

13 pages

References in corpus (5)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Testing Scalar-Tensor Gravity Using Space Gravitational-Wave Interferometers
• Cosmology with Varying Constants
• Required Conditions for Late Time Acceleration and Early Time Deceleration in Generalized Scalar-Tensor Theories
• Possible Cosmological Implications of Time Varying Fine Structure Constant