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.

Authors
Bronnikov K.A. 1, 3, 4 , Fabris J.C.4, 2 , Piattella O.F.2 , Santos E.C.2
Number of issue
12
Language
English
Status
Published
Number
162
Volume
48
Year
2016
Organizations
  • 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
Keywords
Alternative theories of gravity; Black Holes; Exact solutions; Gravitation; Wormholes
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/3727/