A reciprocal Wald theorem for varying gravitational functionStéphane 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