Non-Projectable Horava-Lifshitz Gravity without Unwanted Scalar Graviton

Abstract

We consider a way of eliminating the unwanted scalar graviton from Horava-Lifshitz gravity. That is achieved via introduction of certain additional constraints. We perform canonical analysis of both projectable and non-projectable versions of the theory. We obtain the structure of constraints in each case, and analyze its dependence on the values of the coupling constants involved in the additional constraints. In the non-projectable theory, the scalar graviton is absent when the coupling constants have certain values, while for other values the scalar graviton appears. The projectable theory is free from the scalar graviton regardless of the values of the coupling constants, even though the structure of constraints does depend on the value of a coupling constant.

20 pages, v2:references added, minor corrections, journal version

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• Asymptotic freedom in (3+1)-dimensional projectable Horava gravity: connecting ultraviolet to infrared
• On the canonical structure and extra mode of generalized unimodular gravity
• Restricted f(R) Gravity and Its Cosmological Implications
• Hamiltonian Analysis of Mixed Derivative Horava-Lifshitz Gravity
• Two Dimensional F(R) Horava-Lifshitz Gravity
• Cosmological Perturbations in Restricted f(R)-Gravity
• Diffeomorphism Invariance Breaking in Gravity and Cosmological Evolution
• Evolving Horava Cosmological Horizons