Matter in Horava-Lifshitz gravity

Abstract

We consider the role of matter in the non-projectable version of Horava-Liftshitz gravity at both a classical and a quantum level. At the classical level, we construct general forms of matter Lagrangians consistent with the reduced symmetry group and demonstrate that they must be reduced to their relativistic form if they are to avoid sourcing the gravitational Stuckelberg field. At the quantum level we consider one loop corrections to the propagator for a relativistic scalar minimally coupled to gravity at tree level. We find large corrections to the light cone at low energies arising from the strength of the coupling of the scalar graviton to matter. We also find evidence that higher order time derivatives may be generated, which is worrying if this is to be taken seriously as a UV complete theory.

25 pages. References added and minor typos corrected

References in corpus (10)

• Spectral Dimension of the Universe in Quantum Gravity at a Lifshitz Point
• Horava-Lifshitz Cosmology
• Strong coupling in Horava gravity
• Horava-Lifshitz Cosmology: A Review
• On the Extra Mode and Inconsistency of Horava Gravity
• Horava-Lifshitz gravity: a status report
• Projectable Horava-Lifshitz gravity in a nutshell
• Scale hierarchy in Horava-Lifshitz gravity: a strong constraint from synchrotron radiation in the Crab nebula
• The good, the bad and the ugly .... of Horava gravity
• Electrodynamics a la Horava

Cited by in corpus (16)

• A Critical Review of Classical Bouncing Cosmologies
• Hořava Gravity at a Lifshitz Point: A Progress Report
• Gravitational waves and the polarizations in Hořava gravity after GW170817
• Gravity with explicit spacetime symmetry breaking and the Standard-Model Extension
• Causality and black holes in spacetimes with a preferred foliation
• Constraints on rainbow gravity functions from black hole thermodynamics
• Beta functions of (3+1)-dimensional projectable Horava gravity
• Extended phase-space analysis of the Horava-Lifshitz cosmology
• Horava gravity with mixed derivative terms
• Lifshitz-sector mediated SUSY breaking
• IR Horava-Lifshitz gravity coupled to Lorentz violating matter: A spectral action approach
• Effective fermion kinematics from a modified quantum gravity
• On geodesics in space-times with a foliation structure: A spectral geometry approach
• Effects of high-order operators in non-relativistic Lifshitz holography
• Constraints on Hořava-Lifshitz gravity from GRB 170817A
• Propagation of anisotropic gravitational and electromagnetic waves at very high energies