Renormalization group approach in Newtonian cosmology

Yasuhide Sota, Toshiyuki Kobayashi, Keiichi Maeda, Tomomi Kurokawa, Masahiro Morikawa, Akika Nakamichi

    Research output: Contribution to journalArticle

    8 Citations (Scopus)

    Abstract

    We apply the renormalization group (RG) method to examine the observable scaling properties in Newtonian cosmology. The original scaling properties of the equations of motion in our model are modified for averaged observables on constant time slices. In the RG flow diagram, we find three robust fixed points: Einstein-de Sitter, Milne, and quiescent fixed points. Their stability (or instability) property does not change under the effect of fluctuations. Inspired by the inflationary scenario in the early Universe, we set the Einstein-de Sitter fixed point with small fluctuations as the boundary condition at the horizon scale. Solving the RG equations under this boundary condition toward the smaller scales, we find a generic behavior of observables such that the density parameter Ω decreases, while the Hubble parameter H increases for a smaller averaging volume. The quantitative scaling properties are analyzed by calculating the characteristic exponents around each fixed point. Finally we argue the possible fractal structure of the Universe beyond the horizon scale.

    Original languageEnglish
    Article number043502
    Pages (from-to)435021-4350218
    Number of pages3915198
    JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
    Volume58
    Issue number4
    Publication statusPublished - 1998 Aug 15

    Fingerprint

    Cosmology
    Renormalization Group
    cosmology
    Fixed point
    Scaling
    scaling
    Albert Einstein
    horizon
    Horizon
    universe
    Fluctuations
    boundary conditions
    Boundary conditions
    Characteristic Exponents
    Flow diagram
    Early Universe
    Fractal Structure
    renormalization group methods
    Time Constant
    Slice

    ASJC Scopus subject areas

    • Physics and Astronomy(all)
    • Nuclear and High Energy Physics
    • Mathematical Physics
    • Physics and Astronomy (miscellaneous)

    Cite this

    Sota, Y., Kobayashi, T., Maeda, K., Kurokawa, T., Morikawa, M., & Nakamichi, A. (1998). Renormalization group approach in Newtonian cosmology. Physical Review D - Particles, Fields, Gravitation and Cosmology, 58(4), 435021-4350218. [043502].

    Renormalization group approach in Newtonian cosmology. / Sota, Yasuhide; Kobayashi, Toshiyuki; Maeda, Keiichi; Kurokawa, Tomomi; Morikawa, Masahiro; Nakamichi, Akika.

    In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 58, No. 4, 043502, 15.08.1998, p. 435021-4350218.

    Research output: Contribution to journalArticle

    Sota, Y, Kobayashi, T, Maeda, K, Kurokawa, T, Morikawa, M & Nakamichi, A 1998, 'Renormalization group approach in Newtonian cosmology', Physical Review D - Particles, Fields, Gravitation and Cosmology, vol. 58, no. 4, 043502, pp. 435021-4350218.
    Sota Y, Kobayashi T, Maeda K, Kurokawa T, Morikawa M, Nakamichi A. Renormalization group approach in Newtonian cosmology. Physical Review D - Particles, Fields, Gravitation and Cosmology. 1998 Aug 15;58(4):435021-4350218. 043502.
    Sota, Yasuhide ; Kobayashi, Toshiyuki ; Maeda, Keiichi ; Kurokawa, Tomomi ; Morikawa, Masahiro ; Nakamichi, Akika. / Renormalization group approach in Newtonian cosmology. In: Physical Review D - Particles, Fields, Gravitation and Cosmology. 1998 ; Vol. 58, No. 4. pp. 435021-4350218.
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