Chiral cosmological model of F(R,R) gravity

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We study the modified gravity 𝑓(𝑅,□𝑅), which can be reduced to a chiral cosmological model of a particular type with scalar field observers 𝜒, 𝜑, 𝜙. The method of studying the chiral cosmological model was used for the 𝑓(𝑅, (∇𝑅)2) models, but was first used by Naruko for the more general 𝑓(𝑅) Gracing model. In this paper, equations for chiral fields and the Einstein-Friedmann equations in the Friedmann-Robertson-Walker metric are presented. Note that the solutions for this chosen model are based on a special choice of one of the chiral fields: = - √ 3/2 ln 2. Solutions are considered in the case of reducing the model to a one-field model: two chiral fields of the model depend linearly on the third one. The obtained solutions are of interest, since quantum corrections must also be taken into account in the analysis.

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Chiral cosmological model, scalar-tensor and 𝑓(𝑅) gravity theory, friedman universe, cosmological parameters, spectral parameters

Короткий адрес: https://sciup.org/142237724

IDR: 142237724   |   DOI: 10.17238/issn2226-8812.2023.1.117-120

Список литературы Chiral cosmological model of F(R,R) gravity

  • Naruko A., Yoshida D., Mukohyama S. Gravitational scalar-tensor theory. Class. Quant. Grav., 2016, vol. 33, no. 9, pp. 09LT01.
  • Chervon S.V., Fomin I.V., Chaadaev A.A. Spherically Symmetric Solutions of a Chiral Self-Gravitating Model in 𝑓(𝑅,□𝑅) Gravity. Grav. Cosmol., 2022, 28, no. 3, pp. 296-304.
  • Saridakis E.N., Tsoukalas M. Cosmology in new gravitational scalar-tensor theories. Physical Review D., 2016, vol. 93, no. 12, pp. 124032.
  • Chervon S.V., Fomin I.V., Mayorova T.I., Khapaeva A.V. Cosmological parameters of f(R) gravity with kinetic scalar curvature. J. Phys. Conf. Ser., 2020, 1557, 012016.
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