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Rastall's theory of gravity: Spherically symmetric solutions and the stability problem

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arxiv 2007.01945 v1 pith:5JZIFUCY submitted 2020-07-03 gr-qc hep-th

Rastall's theory of gravity: Spherically symmetric solutions and the stability problem

K.A. Bronnikov , J\'ulio C. Fabris , Oliver F. Piattella , Denis C. Rodrigues , Edison C.O. Santos This is my paper
classification gr-qc hep-th
keywords solutionssphericallystabilitysymmetricperturbationsrastalltheoryanalysis
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We study the stability of static, spherically symmetric solutions of Rastall's theory in the presence of a scalar field with respect to spherically symmetric perturbations. It is shown that the stability analysis is inconsistent in the sense that linear time-dependent perturbations cannot exist, and we can conclude that these solutions are stable. Possible reasons for this inconsistency are discussed.

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