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 inflationarysolutions for the vacuum case, that is, in the absence of material source. For the two-field TMS TG, solutionsare found in the presence of a source in the form of the scalar field in the slow-roll regime, when the gravitationalpart is given in the Einstein frame, and the action of the non-gravitational (material) field Sm is given in theJordan frame. In this case, classes of power-law and de Sitter inflation solutions for various potentials of thenon-gravitational scalar field are found.