Propagations of massive graviton in the deformed Horava-Lifshitz gravity

Abstract

We study massive graviton propagations of scalar, vector, and tensor modes in the deformed Horava-Lifshitz gravity by introducing Lorentz-violating mass term. It turns out that vector and tensor modes are massively propagating on the Minkowski spacetime background. However, adding the mass term does not cure a ghost instability in the Horava scalar.

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