The simplest wormhole in Rastall and k-essence theories

The geometry of the Ellis–Bronnikov wormhole is implemented in the Rastall and k-essence theories of gravity with a self-interacting scalar field. The form of the scalar field potential is determined in both cases. A stability analysis with respect to spherically symmetric time-dependent perturbations is carried out, and it shows that in k-essence theory the wormhole is unstable, like the original version of this geometry supported by a massless phantom scalar field in general relativity. In Rastall’s theory, it turns out that a perturbative approach reveals the same inconsistency that was found previously for black hole solutions: time-dependent perturbations of the static configuration prove to be excluded by the equations of motion, and the wormhole is, in this sense, stable under spherical perturbations. © 2021, The Author(s).

Авторы
Bronnikov K.A. 1, 2, 3 , Barcellos V.A.G.4 , De Carvalho L.P. , Fabris J.C.3, 4
Издательство
Springer New York LLC
Номер выпуска
5
Язык
Английский
Статус
Опубликовано
Номер
395
Том
81
Год
2021
Организации
  • 1 Center for 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 and Departamento de Fíísica, CCE, Universidade Federal do Espírito Santo, Vitória, ES CEP 29075-910, Brazil
Дата создания
20.07.2021
Дата изменения
20.07.2021
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/74323/
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