Phenomenologically viable Lorentz-violating quantum gravity

Abstract

Horava's "Lifschitz point gravity" has many desirable features, but in its original incarnation one is forced to accept a non-zero cosmological constant of the wrong sign to be compatible with observation. We develop an extension of Horava's model that abandons "detailed balance", and in 3+1 dimensions exhibit all five marginal (renormalizable) and four relevant (super-renormalizable) operators, as determined by power counting. We also consider the classical limit of this theory, evaluate the Hamiltonian and super-momentum constraints, and extract the classical equations of motion in a form similar to the ADM formulation of general relativity. This puts the model in a framework amenable to developing detailed precision tests.

4 pages; revtex4; V2: 2 references added; minor edits; no physics changes; V3: references added; minor edits; no physics changes. This version published in PRL

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• Dynamical Scalar Degree of Freedom in Horava-Lifshitz Gravity
• 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
• A note on particle kinematics in Horava-Lifshitz scenarios