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2020, no. 1

SPHERICAL SYMMETRIC SOLUTIONS OF F(R) GRAVITY WITH A KINETIC CURVATURE SCALAR

Chervon S.V., Fabris J.C., Fomin I.V.

We consider modified f(R) gravity with a kinetic curvature scalar as a chiral self-gravitating model in a spherically symmetric spacetime. Most attention devoted to finding solutions for special case of scaling transformation when modified gravity transforms to Einstein frame from Jordan one. We proposed the method of determination of kinetic function for given scalar field dependence on space coordinate. New classes of solutions are found for special choice of f(R) function.

Keywords: f(R) gravity, spherically symmetric solutions, chiral cosmological models.

UDC: 530.12 + 531.51

PACS: 04.50.Kd

DOI: 10.17238/issn2226-8812.2020.1.53-65

Please cite this article in English as:
Chervon S.V., Fabris J.C., Fomin I.V. Spherical symmetric solutions of f(R) gravity with a kinetic curvature scalar. Space, Time and Fundamental Interactions, 2020, no. 1, pp. 53-65.