Scalar field perturbations in Horava-Lifshitz cosmology

Abstract

We study perturbations of a scalar field cosmology in Horava-Lifshitz gravity, adopting the most general setup without detailed balance but with the projectability condition. We derive the generalized Klein-Gordon equation, which is sixth-order in spatial derivatives. Then we investigate scalar field perturbations coupled to gravity in a flat Friedmann-Robertson-Walker background. In the sub-horizon regime, the metric and scalar field modes have independent oscillations with different frequencies and phases except in particular cases. On super-horizon scales, the perturbations become adiabatic during slow-roll inflation driven by a single field, and the comoving curvature perturbation is constant.

Revtex4, no figures. Version published in JCAP 03, 013 (2010).

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• Thermodynamics of the apparent horizon in infrared modified Horava-Lifshitz gravity
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• Overall observational constraints on the running parameter λof Horava-Lifshitz gravity
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• The Trans-Planckian Problem in the Healthy Extension of Horava-Lifshitz Gravity
• A phase space description of the FLRW quantum cosmology in Ho$\check{\mathrm{r}}$ava-Lifshitz type gravity
• Scalar graviton in the healthy extension of Hořava-Lifshitz theory
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• Note About Equivalence of F(R) and Scalar Tensor Horava-Lifshitz Gravities
• Quantum Cosmology in $(1+1)$-dimensional Hořava-Lifshitz theory of gravity
• Black Strings in Hořava-Lifshitz Gravity
• Spatially homogeneous black hole solutions in $z=4$ Hořava-Lifshitz gravity in $(4+1)$ dimensions with Nil geometry and $H^2\times R$ horizons
• Effects of high-order operators in non-relativistic Lifshitz holography
• Cosmology in $(1+1)$-dimensional Hořava-Lifshitz theory of gravity