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Cosmological solutions for the Universe filled with matter in various states and gauge invariance
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In this paper, a model of the universe filled with various kinds of matter characterized by different equations of state is explored at phenomenological level, and it is shown that introducing each kind of matter is equivalent to a certain choice of a gauge condition, the gauge condition describing a medium with a given equation of state.Abstract:
We explore at phenomenological level a model of the Universe filled with various kinds of matter characterized by different equations of state. We show that introducing of each kind of matter is equivalent to a certain choice of a gauge condition, the gauge condition describing a medium with a given equation of state. The case of a particular interest is when one kind of matter (de Sitter false vacuum) dominates at the early stage of the Universe evolution while another kind (radiation, or ultrarelativistic gas) dominates at its later stage. We can, therefore, consider different asymptotic regimes for the early and later stages of the Universe existence. These regimes are described by solutions to the Wheeler - DeWitt equation for the Universe with matter in that given state, and, at the same time, in the "extended phase space" approach to quantum geometrodynamics the regimes are described by solutions to a Schrodinger equation associated with a choice of some gauge condition. It is supposed that, from the viewpoint of the observer located at the later stage of the Universe evolution, solutions for a Lambda-dominated early Universe would decay.read more
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Evolutionary quantum dynamics of a generic universe
TL;DR: In this article, the implications of an evolutionary quantum gravity are addressed in view of formulating a new dark matter candidate, and it is shown that when a Planckian cut-off is imposed in the theory and the classical limit of the ground state is taken, then a dark matter contribution cannot arise because its critical parameter is negligible today when the appropriate cosmological implementation of the model is provided.