Note on the Evolution of the Gravitational Potential in Rastall Scalar Field Theories

Abstract

We investigate the evolution of the gravitational potential in Rastall scalar field theories. In a single component model a consistent perturbation theory, formulated in the newtonian gauge, is possible only for $\gamma =1$, which is the General Relativity limit. On the other hand, the addition of another canonical fluid component allows also to consider the case $\gamma \ne 1$.

16 pages, 3 figures, Sections 2 and 5 enlarged, accepted for publication in Physics Letters B

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