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. The analysis of perturbations shows that there arises an inconsistency in the sense that time-dependent perturbations do not exist in any order of perturbation theory, and we can conclude that these solutions are pertubatively stable (though nonperturbative time-dependent solutions are not excluded). Possible reasons for this inconsistency are discussed. © 2021, The Author(s), under exclusive licence to Springer Science+Business Media, LLC part of Springer Nature.

Authors
Bronnikov K.A. 1, 2, 3 , Fabris J.C.3, 4 , Piattella O.F.4 , Rodrigues D.C.5 , Santos E.C.O.6
Number of issue
2
Language
English
Status
Published
Number
20
Volume
53
Year
2021
Organizations
  • 1 Center of Gravitation and Fundamental Metrology, VNIIMS, Ozyornaya ul. 46, Moscow, 119361, Russian Federation
  • 2 Institute of Gravitation and Cosmology, Peoples’ Friendship University of Russia (RUDN University), ul. Miklukho-Maklaya 6, Moscow, 117198, Russian Federation
  • 3 National Research Nuclear University “MEPhI”, Kashirskoe sh. 31, Moscow, 115409, Russian Federation
  • 4 Núcleo Cosmo-ufes & Departamento de Física, CCE, Universidade Federal do Espírito Santo, Vitória, ES CEP 29075-910, Brazil
  • 5 PPGFis, CCE, Universidade Federal do Espírito Santo, Vitória, ES CEP 29075-910, Brazil
  • 6 PPGCosmo, CCE, Universidade Federal do Espírito Santo, Vitória, ES CEP 29075-910, Brazil
Keywords
Black holes; Exact solutions; Extended theory of gravity; Stability
Date of creation
20.04.2021
Date of change
20.04.2021
Short link
https://repository.rudn.ru/en/records/article/record/72161/
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