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The Brans-Dicke-Rastall theory

Authors
  • Caramês, Thiago R. P.
  • Daouda, Mahamadou H.
  • Fabris, Júlio C.
  • de Oliveira, Adriano M.
  • Piattella, Oliver F.
  • Strokov, Vladimir
Type
Published Article
Publication Date
Oct 13, 2014
Submission Date
Sep 08, 2014
Identifiers
DOI: 10.1140/epjc/s10052-014-3145-3
Source
arXiv
License
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External links

Abstract

We formulate a theory combining the principles of a scalar-tensor gravity and Rastall's proposal of a violation of the usual conservation laws. We obtain a scalar-tensor theory with two parameters $\omega$ and $\lambda$, the latter quantifying the violation of the usual conservation laws. The only exact spherically symmetric solution is that of Robinson-Bertotti besides Schwarzschild solution. A PPN analysis reveals that General Relativity results are reproduced when $\lambda = 0$. The cosmological case displays a possibility of deceleration/acceleration or acceleration/deceleration transitions during the matter dominated phase depending on the values of the free parameters.

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