Fluctuation of the Hubble parameter

2014/04/30 by Xi-Bin Li, Xibin Li, Hao-Feng Qin +3
Mathematics · Physics and Astronomy · #Astronomy and Astrophysical Research #Astrophysics #Cosmology #Cosmology and Gravitation Theories #Dark energy #Hubble volume #Hubble's law #Inflation (cosmology) #Mathematics #Metric expansion of space #Physics #Scale factor (cosmology) #Spectral density #Statistics #Theoretical physics #Universe #astro-ph.CO

paper · pdf · doi:10.1103/physrevd.91.043525

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 91(4) (American Physical Society) · 13 pages, 9 figures, accepted for publication PRD

arxiv created 2015/01/29 · openalex publication_date 2015/02/20 · arxiv updated 2015/06/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study the Hubble parameter H(z) in perturbed Friedmann universe and obtain an expression of the perturbed Hubble parameter H(z,n). We derive the Hubble parameter power spectrum by using the initial spectrum during inflation and the Bardeen transfer function. We obtain a semianalytical expression in the case of cold dark matter universe. Similar with luminosity distance, the Hubble parameter spectrum is suggested to be a useful observational tool to determine some cosmological parameters. In addition, we show that the Hubble parameter power spectrum could be used to check whether the expansion is accelerated by the second order small scale fluctuation.

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