Dynamical Scalar Degree of Freedom in Horava-Lifshitz Gravity

Abstract

We investigate the linear cosmological perturbations of Hořava-Lifshitz gravity in a FRW universe without any matter. Our results show that a new gauge invariant dynamical scalar mode emerges, due to the gauge transformation under the "foliation-preserving" diffeomorphism and "projectability condition", and it can produce a scale invariant power spectrum. In the infrared regime with $\lambda =1$, the dynamical scalar degree of freedom turns to be a non-dynamical one at the linear order level.

5pages, no figures, references added, version to appear in PRD(R)

References in corpus (5)

• Quantum Gravity at a Lifshitz Point
• Membranes at Quantum Criticality
• Chiral Primordial Gravitational Waves from a Lifshitz Point
• Phenomenologically viable Lorentz-violating quantum gravity
• On the z=4 Horava-Lifshitz Gravity

Cited by in corpus (8)

• Strong coupling in Horava gravity
• Thermodynamics of Black Holes in Horava-Lifshitz Gravity
• Towards constraining of the Horava-Lifshitz gravities
• Caustic avoidance in Horava-Lifshitz gravity
• Anisotropic Cosmology and (Super)Stiff Matter in Hořava's Gravity Theory
• Generalized uncertainty principle and Hořava-Lifshitz gravity
• Strong Coupling Quantum Einstein Gravity at a z=2 Lifshitz Point
• Power spectra of scalar and tensor modes in modified Horava-Lifshitz gravity