The Regular Universe

Vladimir S. Mashkevich

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arXiv · 1103.2414

The Regular Universe

Vladimir S. Mashkevich

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Abstract

A regular (i.e., singularity-free) cycling cosmological model is advanced. In the model, there are only two constants: the gravitational constant (or the Planck time) and the cosmic period. The radius of the universe is a simple periodic function of cosmic time. The regularity of the construction is achieved via the condition that the measure associated with metric be the Haar measure on the 3-space. The possibility of the construction is due to dark matter---as long as it is treated not as a particle matter, but as a compensational tensor field. The metrodynamical equation, i.e., an equation for metric, is derived and expressions for the pressure, energy and momentum compensons are obtained.

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Vladimir S. Mashkevich. 2011-12-24. The Regular Universe. https://arxiv.org/abs/1103.2414

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