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COSMOLOGICAL INFLATION IN TENSOR-MULTI-SCALAR THEORY OF GRAVITATION

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 Sm 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.