Arrow of time in dissipationless cosmologyстатья

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Дата последнего поиска статьи во внешних источниках: 11 ноября 2015 г.

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[1] Sahni V., Shtanov Y., Toporensky A. Arrow of time in dissipationless cosmology // Classical and Quantum Gravity. — 2015. — Vol. 32, no. 18. — P. 182001. t is generally believed that a cosmological arrow of time must be associated with entropy production. Indeed, in his seminal work on cyclic cosmology, Tolman introduced a viscous fluid in order to make successive expansion/contraction cycles larger than previous ones, thereby generating an arrow of time. However, as we demonstrate in this letter, the production of entropy is not the only means by which a cosmological arrow of time may emerge. Remarkably, systems which are dissipationless may nevertheless demonstrate a preferred direction of time provided they possess attractors. An example of a system with well defined attractors is scalar-field driven cosmology. In this case, for a wide class of potentials (especially those responsible for inflation), the attractor equation of state during expansion can have the form p ≅-ρ, and during contraction p ≅ρ. If the resulting cosmology is cyclic, then the presence of cosmological hysteresis, p∼dV ≠0 during successive cycles, causes an arrow of time to emerge in a system which is formally dissipationless. An important analogy is drawn between the arrow of time in cyclic cosmology and an arrow of time in an N-body system of gravitationally interacting particles. We find that, like the N-body system, a cyclic universe can evolve from a single past into two futures with oppositely directed arrows of time. [ DOI ]

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