Effects of quantum gravitational processes on the evolution of an isotropic universe

Mathematics

Scientific paper

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Cosmology, Gravitation Theory, Quantum Theory, Universe, Isotropic Media, Pair Production, Singularity (Mathematics), Tensor Analysis

Scientific paper

Exact analytical solutions are presented for a plane isotropic model of the universe, within the framework of Einstein's gravitational theory. An energy momentum tensor for an ultrarelativistic medium is used, which takes into consideration the quantum gravitational effects of spontaneous pair production, the bulk viscosity, and the interaction between the particles of the gravitational field; these processes lead to a rise of the conformal temperature and an entropy of the medium. It is shown that the solutions do not contain any mathematical singularities of the physical parameters.

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