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STOCHASTIC EINSTEIN EQUATIONS

VLADIMIR DZHUNUSHALIEV

Institut für Physik, Universität Oldenburg, Postfach 2503 D-26111 Oldenburg, Germany

Institute for Basic Research, Eurasian National University, Astana 010008, Kazakhastan

Institute of Physicotechnical Problems and Material Science of the NAS of the Kyrgyz Republic, 265a, Chui Street, Bishkek, 720071, Kyrgyz Republic

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https://doi.org/10.1142/S0219887811005671Cited by:1 (Source: Crossref)

Abstract

Stochastic Einstein equations are considered when three-dimensional space metric γ_ij are stochastic functions. The probability density for the stochastic quantities is connected with 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 flow is discussed.

Keywords:

PACS: 02.50.-r, 04.90.+e

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