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2023, no. 1

ANISOTROPIC AND INHOMOGENEOUS COSMOLOGICAL MODELS IN THE SCALAR-TENSOR THEORY OF GRAVITY WITH NON-MINIMAL KINETIC COUPLING

Gatin K.A., Muharlyamov R.K., Sushkov S.V.

In this paper, we consider a gravitating scalar field with a non-minimal kinetic coupling to the curvature. The field equations are written in the polarized Gaud? metric. The corresponding space-time is anisotropic and inhomogeneous. In our research, we want to obtain mechanisms for the transition of the Universe from an inhomogeneous phase to a homogeneous one in the framework of Horndeskys theory. In this paper, we restrict ourselves to a preliminary analysis of the field equations.

Keywords: gravitational waves, algebraic classification of Petrov, Weyl matrices, a superposition (composition) principle of space types, linearised Einstein equations.

UDC: 530.12, 531.51

DOI: 10.17238/issn2226-8812.2023.1.3640

Please cite this article in English as:
Gatin K.A., Muharlyamov R.K., Sushkov S.V. Anisotropic and inhomogeneous cosmological models in the scalar-tensor theory of gravity with non-minimal kinetic coupling. Space, Time and Fundamental Interactions, 2023, no. 1, pp. 3640.