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Title: Cosmological models with the energy density of random fluctuations and the Hubble-constant problem
Authors: Tomita, Kenji
Author's alias: 冨田, 憲二
Issue Date: Aug-2017
Publisher: Physical Society of Japan
Journal title: Progress of Theoretical and Experimental Physics
Volume: 2017
Issue: 8
Thesis number: 083E04
Abstract: The fluctuation energy is derived from adiabatic random fluctuations due to second-order perturbation theory, and the evolutionary relation for it is expressed in the form of ρf = ρf (ρ), where ρ and ρf are the densities of ordinary dust and the fluctuation energy, respectively. The pressureless matter as a constituent of the universe at the later stage is assumed to consist of ordinary dust and the fluctuation energy. Next, cosmological models including the fluctuation energy as a kind of dark matter are derived using the above relation, and it is found that the Hubble parameter and the other model parameters in the derived models can be consistent with the recent observational values. Moreover, the perturbations of ρ and ρf are studied.
Rights: © The Author 2017. Published by Oxford University Press on behalf of the Physical Society of Japan. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (, which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.
DOI(Published Version): 10.1093/ptep/ptx117
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