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Nonsingular decaying vacuum cosmology and entropy production. (English) Zbl 1317.83111

Summary: The thermodynamic behavior of a decaying vacuum cosmology describing the entire cosmological history evolving between two extreme (early and late time) de Sitter eras is investigated. The thermal evolution from the early de Sitter to the radiation phase is discussed in detail. The temperature evolution law and the increasing entropy function are analytically determined. The entropy of the effectively massless particles is initially zero but evolves continuously to the present day maximum value within the current Hubble radius, \(S_0 \sim 10^{88}\) in natural units. By using the Gibbons-Hawking temperature relation for the de Sitter spacetime, it is found that the ratio between the primeval and the late time vacuum energy densities is \(\rho_{vI}/\rho_{v0} \sim 10^{123}\), as required by some naive estimates from quantum field theory.

MSC:

83F05 Relativistic cosmology
83C75 Space-time singularities, cosmic censorship, etc.
94A17 Measures of information, entropy
80A10 Classical and relativistic thermodynamics
81T20 Quantum field theory on curved space or space-time backgrounds

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