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Search: authors:"Oliver F. Piattella"

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Duality between k-essence and Rastall gravity

The k-essence theory with a power-law function of \((\partial \phi )^2\) and Rastall’s non-conservative theory of gravity with a scalar field are shown to have the same solutions for the metric under the assumption that both the metric and the scalar fields depend on a single coordinate. This equivalence (called k–R duality) holds for static configurations with various symmetries...

The Brans–Dicke–Rastall theory

We formulate a theory combining the principles of 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 (\(\lambda = 1\) corresponding to the General Relativity limit). The only exact...