Consistent Horava gravity without extra modes and equivalent to general relativity at the linearized level

Abstract

We consider a Horava theory that has a consistent structure of constraints and propagates two physical degrees of freedom. The Lagrangian includes the terms of Blas, Pujolas and Sibiryakov. The theory can be obtained from the general Horava's formulation by setting lambda = 1/3. This value of lambda is protected in the quantum formulation of the theory by the presence of a constraint. The theory has two second-class constraints that are absent for other values of lambda. They remove the extra scalar mode. There is no strong-coupling problem in this theory since there is no extra mode. We perform explicit computations on a model that put together a z = 1 term and the IR effective action. We also show that the lowest-order perturbative version of the IR effective theory has a dynamics identical to the one of linearized general relativity. Therefore, this theory is smoothly recovered at the deepest IR without discontinuities in the physical degrees of freedom.

V2 Some references added. V3 minor corrections in grammar, matches version of PRD. 15 pages

References in corpus (6)

• Quantum Gravity at a Lifshitz Point
• Strong coupling in Horava gravity
• On the Extra Mode and Inconsistency of Horava Gravity
• A Trouble with Hořava-Lifshitz Gravity
• Closure of the algebra of constraints for a nonprojectable Hořava model
• Non-perturbative analysis of the constraints and the positivity of the energy of the complete Horava theory

Cited by in corpus (28)

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• Quantization of the Horava theory at the kinetic-conformal point
• Constraints on Covariant Horava-Lifshitz Gravity from frame-dragging experiment
• Wormholes and naked singularities in the complete Horava theory
• Quantization of the nonprojectable 2+1D Horava theory: The second-class constraints
• The anisotropic coupling of gravity and electromagnetism in Hořava-Lifshitz theory
• BFV quantization of the nonprojectable 2+1 Horava theory
• Non-Projectable Horava-Lifshitz Gravity without Unwanted Scalar Graviton
• Pure electromagnetic-gravitational interaction in Hořava-Lifshitz theory at the kinetic conformal point
• The point-particle solution and the asymptotic flatness in 2+1 Horava gravity
• The Hamiltonian Dynamics of Horava Gravity
• Einstein's quadrupole formula from the kinetic-conformal Horava theory
• Wormholes in Horava gravity with cosmological constant
• On the space of solutions of the Horava theory at the kinetic-conformal point
• Effective action of the Horava theory: Cancellation of divergences
• Dynamics of the anisotropic conformal Horava theory versus its kinetic-conformal formulation
• Cosmology in $(1+1)$-dimensional Hořava-Lifshitz theory of gravity
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• Electric-magnetic duality in linearized Hořava-Lifshitz gravity
• Gravitational waves in Hořava-Lifshitz anisotropic gravity
• Asymptotic flatness and nonflat solutions in the critical 2+1 Horava theory
• Quantization of the anisotropic conformal Horava theory
• Phenomenologically viable gravitational theory based on a preferred foliation without extra modes
• Curvature vs degrees of freedom: The case of the critical 2+1 Horava theory