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.
PACS: 04.50.+h – 98.80.Cq – 11.27.+d
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Fay, S. A reciprocal Wald theorem for varying gravitational function. Eur Phys J C 32 (Suppl 1), s107–s118 (2004). https://doi.org/10.1140/epjcd/s2003-01-008-2
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DOI: https://doi.org/10.1140/epjcd/s2003-01-008-2