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

M A Vandyck

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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.


PACS

04.50.-h Higher-dimensional gravity and other theories of gravity

98.80.Cq Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.)

MSC

83F05 Cosmology

83Cxx General relativity

Subjects

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 1 (January 1995)

Received 30 September 1993, in final form 27 July 1994



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