Scalar field perturbations in Horava-Lifshitz cosmology

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

10.1088/1475-7516/2010/03/013

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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