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

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...

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Bibliographic Details
Published in:arXiv.org 2020-07
Main Authors: Bronnikov, K A, Fabris, Júlio C, Piattella, Oliver F, Rodrigues, Denis C, Santos, Edison C O
Format: Article
Language:English
Subjects:
Scalars
Stability analysis
Time dependence
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.2007.01945