Topological entropy for some isotropic cosmological models

A. Yu. Kamenshchik; I. M. Khalatnikov; S. V. Savchenko; A. V. Toporensky

doi:10.1103/PhysRevD.59.123516

Topological entropy for some isotropic cosmological models

A. Yu. Kamenshchik, I. M. Khalatnikov, S. V. Savchenko, and A. V. Toporensky

Phys. Rev. D 59, 123516 – Published 14 May 1999

Abstract

Chaotical dynamics is studied in different Friedmann-Robertson-Walker cosmological models with a scalar (inflaton) field and hydrodynamical matter. The topological entropy is calculated for some particular cases. The suggested scheme can be easily generalized for a wide class of models. Different methods of calculating the topological entropy are compared.

Received 16 September 1998

DOI:https://doi.org/10.1103/PhysRevD.59.123516

Authors & Affiliations

A. Yu. Kamenshchik^1,2, I. M. Khalatnikov^1,2,3, S. V. Savchenko¹, and A. V. Toporensky⁴

¹L.D. Landau Institute for Theoretical Physics, Russian Academy of Sciences, Kosygin street 2, Moscow, 117334, Russia
²Landau Network Centro Volta, Villa Olmo, Via Cantoni 1, Como, 22100, Italy
³Tel Aviv University, Raymond and Sackler Faculty of Exact Sciences, School of Physics and Astronomy, Ramat Aviv, 69978, Israel
⁴Sternberg Astronomical Institute, Moscow University, Moscow, 119899, Russia

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Vol. 59, Iss. 12 — 15 June 1999

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Physical Review D

covering particles, fields, gravitation, and cosmology