Static, spherically symmetric solutions with a scalar field in Rastall gravity

Rastall’s theory belongs to the class of non-conservative theories of gravity. In vacuum, the only non-trivial static, spherically symmetric solution is the Schwarzschild one, except for a very special case. When a canonical scalar field is coupled to the gravity sector in this theory, new exact solutions appear for some values of the Rastall parameter a. Some of these solutions describe the same space–time geometry as the recently found solutions in the k-essence theory with a power function for the kinetic term of the scalar field. There is a large class of solutions (in particular, those describing wormholes and regular black holes) whose geometry coincides with that of solutions of GR coupled to scalar fields with nontrivial self-interaction potentials; the form of these potentials, however, depends on the Rastall parameter a. We also note that all solutions of GR with a zero trace of the energy-momentum tensor, including black-hole and wormhole ones, may be re-interpreted as solutions of Rastall’s theory. © 2016, Springer Science+Business Media New York.

Авторы
Bronnikov K.A. 1, 3, 4 , Fabris J.C.4, 2 , Piattella O.F.2 , Santos E.C.2
Редакторы
-
Издательство
-
Номер выпуска
12
Язык
Английский
Страницы
-
Статус
Опубликовано
Подразделение
-
Номер
162
Том
48
Год
2016
Организации
  • 1 VNIIMS, Ozyornaya ul. 46, Moscow, 119361, Russian Federation
  • 2 Departamento de Física, UFES, Avenida Fernando Ferrari, 514, CEP, Vitória, ES 29075-910, Brazil
  • 3 Institute of Gravitation and Cosmology, PFUR, ul. Miklukho-Maklaya 6, Moscow, 117198, Russian Federation
  • 4 National Research Nuclear University - MEPhI, Kashirskoe sh. 31, Moscow, 115409, Russian Federation
Ключевые слова
Alternative theories of gravity; Black Holes; Exact solutions; Gravitation; Wormholes
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/3727/