Stability of the de Sitter spacetime in Horava-Lifshitz theory

Abstract

The stability of de Sitter spacetime in Horava-Lifshitz theory of gravity with projectability but without detailed balance condition is studied. It is found that, in contrast to the case of the Minkowski background, the spin-0 graviton now is stable for any given , and free of ghost for 0 in the infrared limit, where is the dynamical coupling constant.

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