Stability of singularity-free cosmological solutions in Hořava-Lifshitz gravity

Yosuke Misonoh, Mitsuhiro Fukushima, Shoichiro Miyashita

    Research output: Contribution to journalArticle

    8 Citations (Scopus)

    Abstract

    We study the stability of singularity-free cosmological solutions with a positive cosmological constant based on the projectable Hořava-Lifshitz (HL) theory. In the HL theory, the isotropic and homogeneous cosmological solutions with bounce can be realized if the spatial curvature is nonzero. By performing a perturbation analysis around nonflat Friedmann-Lemaître-Robertson-Walker (FLRW) spacetime, we derive a quadratic action and discuss the stability, i.e., ghost and tachyon-free conditions. Although the squared effective mass of scalar perturbation must be negative in the infrared regime, we can avoid tachyon instability by considering strong Hubble friction. Additionally, we estimate the backreaction from the perturbations on the background geometry, especially against an anisotropic perturbation in closed FLRW spacetime. It turns out that certain types of bouncing solution may be spoiled even if all perturbation modes are stable.

    Original languageEnglish
    Article number044044
    JournalPhysical Review D
    Volume95
    Issue number4
    DOIs
    Publication statusPublished - 2017 Feb 28

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    gravitation
    perturbation
    ghosts
    friction
    curvature
    scalars
    estimates
    geometry

    ASJC Scopus subject areas

    • Physics and Astronomy (miscellaneous)

    Cite this

    Stability of singularity-free cosmological solutions in Hořava-Lifshitz gravity. / Misonoh, Yosuke; Fukushima, Mitsuhiro; Miyashita, Shoichiro.

    In: Physical Review D, Vol. 95, No. 4, 044044, 28.02.2017.

    Research output: Contribution to journalArticle

    Misonoh, Yosuke ; Fukushima, Mitsuhiro ; Miyashita, Shoichiro. / Stability of singularity-free cosmological solutions in Hořava-Lifshitz gravity. In: Physical Review D. 2017 ; Vol. 95, No. 4.
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