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In Horava-Lifshitz gravity, the extra dynamical scalar mode could playsignificant role in cosmology. However it has been pointed out that such ascalar may suffer from the strong coupling problem in IR. We address this issuein this paper. Our analysis shows that the scalar mode could decouple naturallyat \lambda=1 due to the extra gauge symmetry. On the other hand, the fact thatthe scalar mode becomes ghost when 1/3<\lambda<1 is a real challenge to thetheory. We try to overcome this problem by modifying the action such that theRG flow lies outside the problematic region. We discuss the cosmologicalimplications of the action and calculate the power spectra of scalar and tensormodes.

Power spectra of scalar and tensor modes in modified Horava-Lifshitz gravity