English

The Regular Universe

General Physics 2011-12-30 v2

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.

Keywords

Cite

@article{arxiv.1103.2414,
  title  = {The Regular Universe},
  author = {Vladimir S. Mashkevich},
  journal= {arXiv preprint arXiv:1103.2414},
  year   = {2011}
}

Comments

22 pages, LaTeX 2e

R2 v1 2026-06-21T17:38:39.141Z