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arxiv: 0909.5167 · v3 · submitted 2009-09-28 · ✦ hep-th · astro-ph.CO· gr-qc· hep-ph

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Scalar field perturbations in Horava-Lifshitz cosmology

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classification ✦ hep-th astro-ph.COgr-qchep-ph
keywords fieldperturbationsscalarcosmologygravityhorava-lifshitzadiabaticadopting
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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.

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