4.6 Article

Scalar field perturbations in Horava-Lifshitz cosmology

Journal

Publisher

IOP PUBLISHING LTD
DOI: 10.1088/1475-7516/2010/03/013

Keywords

modified gravity; cosmological perturbation theory; cosmology of theories beyond the SM

Funding

  1. STFC [ST/F002335/1, PP/E001033/1] Funding Source: UKRI
  2. Science and Technology Facilities Council [PP/E001033/1, ST/F002335/1] Funding Source: researchfish

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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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