2019 Impact factor 4.389
Particles and Fields
Open Access
Eur. Phys. J. C 32, s1.107-s1.118 (2004)
DOI: 10.1140/epjcd/s2003-01-008-2

A reciprocal Wald theorem for varying gravitational function

Stéphane Fay

Laboratoire Univers et Théories, CNRS-FRE 2462, Observatoire de Paris, F-92195 Meudon Cedex, France  


(Received 13 March 2003 / Published online 3 June 2003)


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.

PACS: 04.50.+h - 98.80.Cq - 11.27.+d

© Società Italiana di Fisica, Springer-Verlag 2004