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arXiv · 2007.01945

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

K. A. Bronnikov·Júlio C. Fabris·Oliver F. Piattella·Denis C. Rodrigues·Edison C. O. Santos
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Abstract

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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K. A. Bronnikov, Júlio C. Fabris, Oliver F. Piattella, Denis C. Rodrigues, Edison C. O. Santos. 2020-07-03. Rastall's theory of gravity: Spherically symmetric solutions and the stability problem. https://doi.org/10.1007/s10714-021-02791-6

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