Attractor universe in the scalar-tensor theory of gravitation

Keiichi Maeda, Yasunori Fujii

    Research output: Contribution to journalArticle

    20 Citations (Scopus)

    Abstract

    In the scalar-tensor theory of gravitation it seems nontrivial to establish if solutions of the cosmological equations in the presence of a cosmological constant (or a vacuum energy) behave as attractors independently of the initial values. We develop a general formulation in terms of two-dimensional phase space, mainly according to the Brans-Dicke model requiring the scalar field decoupled from the matter Lagrangian in the Jordan frame. We show that there are two kinds of fixed points, one of which is an attractor depending on the coupling constant and equation of state. We find that the static universe in the Jordan frame is an attractor in the presence of a cosmological constant for some range of the coupling constant. We extend our analysis to a power-law potential, finding a new type of power-law inflation caused by the coupling to the matter fluid, also as an attractor.

    Original languageEnglish
    Article number084026
    JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
    Volume79
    Issue number8
    DOIs
    Publication statusPublished - 2009 Apr 1

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    universe
    tensors
    gravitation
    scalars
    Jordan
    equations of state
    formulations
    vacuum
    fluids
    energy

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

    Cite this

    Attractor universe in the scalar-tensor theory of gravitation. / Maeda, Keiichi; Fujii, Yasunori.

    In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 79, No. 8, 084026, 01.04.2009.

    Research output: Contribution to journalArticle

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