2018, no. 1

### COSMOLOGICAL INFLATION IN TENSOR-MULTI-SCALAR THEORY OF GRAVITATION

#### Chervon S.V., Kubasov A.S., Bolshakova K.A.

In this paper, it is shown that the Tensor-Multi-Scalar Theory of Gravity (TMS TG) allows for inflationary solutions for the vacuum case, that is, in the absence of material source. For the two-field TMS TG, solutions are found in the presence of a source in the form of the scalar field in the slow-roll regime, when the gravitational part is given in the Einstein frame, and the action of the non-gravitational (material) field $$S_m$$ is given in the Jordan frame. In this case, classes of power-law and de Sitter inflation solutions for various potentials of the non-gravitational scalar field are found.

Keywords: tensor-multi-scalar gravity, inflationary solutions.

UDC: 530.12 + 531.51

PACS: 04.50.Kd

DOI: 10.17238/issn2226-8812.2018.1.50-66