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

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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