Note on nonsingular cyclic universes in the deformed Horava-Lifshitz gravity

Abstract

We perform the phase space analysis in terms of the linearization technique in the Horava-Lifshitz gravity with the softly broken detailed balance condition. It can be shown that the bouncing universe appears only for the positive spatial curvature of k=+1, and it is possible to obtain oscillating universe with the help of the negative dark radiation and the negative cosmological constant.

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