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Stochastic Einstein equations

General Relativity and Quantum Cosmology 2015-05-19 v1 High Energy Physics - Theory Mathematical Physics math.MP

Abstract

Stochastic Einstein equations are considered when 3D space metric γij\gamma_{ij} are stochastic functions. The probability density for the stochastic quantities is connected with the Perelman's entropy functional. As an example, the Friedman Universe is considered. It is shown that for the Friedman Universe the dynamical evolution is not changed. The connection between general relativity and Ricci flows is discussed.

Keywords

Cite

@article{arxiv.1008.3261,
  title  = {Stochastic Einstein equations},
  author = {Vladimir Dzhunushaliev},
  journal= {arXiv preprint arXiv:1008.3261},
  year   = {2015}
}

Comments

5 pages

R2 v1 2026-06-21T16:02:46.922Z