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Dust- and radiation-filled homogeneous and isotropic universes in four-dimensional generalized dilaton-gravity theory

The homogeneous and isotropic Friedmann--Lemaître--Robertson--Walker universes are generalized to dilaton-gravity theory for a mixture of non-interacting pressureless dust and incoherent radiation, matter being described by a phenomenological energy--momentum tensor. The Robertson diagram is presented and the various types of universes are discussed. In the solutions studied, the dilaton field is seen to exert a strong influence on the behaviour of the universe near the initial singularity, as expected.