Horava-Lifshitz Cosmology: A Review

Abstract

This article reviews basic construction and cosmological implications of a power-counting renormalizable theory of gravitation recently proposed by Horava. We explain that (i) at low energy this theory does not exactly recover general relativity but instead mimic general relativity plus dark matter; that (ii) higher spatial curvature terms allow bouncing and cyclic universes as regular solutions; and that (iii) the anisotropic scaling with the dynamical critical exponent z=3 solves the horizon problem and leads to scale-invariant cosmological perturbations even without inflation. We also comment on issues related to an extra scalar degree of freedom called scalar graviton. In particular, for spherically-symmetric, static, vacuum configurations we prove non-perturbative continuity of the lambda->1+0 limit, where lambda is a parameter in the kinetic action and general relativity has the value lambda=1. We also derive the condition under which linear instability of the scalar graviton does not show up.

28 pages, invited review for CQG; version to be published (v2)

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• Horava-Lifshitz Cosmology
• Strong coupling in Horava gravity
• Chiral Primordial Gravitational Waves from a Lifshitz Point
• Phenomenologically viable Lorentz-violating quantum gravity
• Cosmology of the Lifshitz universe
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Cited by in corpus (18)

• Horava-Lifshitz gravity: a status report
• General Covariance in Gravity at a Lifshitz Point
• An Alternative Approach for General Covariant Horava-Lifshitz Gravity and Matter Coupling
• Stability of spin-0 graviton and strong coupling in Horava-Lifshitz theory of gravity
• Lower-dimensional Horava-Lifshitz gravity
• Cosmology in nonrelativistic general covariant theory of gravity
• Stability, ghost, and strong coupling in nonrelativistic general covariant theory of gravity with $\lambda \ne 1$
• Vector and tensor perturbations in Horava-Lifshitz cosmology
• Hamiltonian Analysis of Non-Relativistic Covariant RFDiff Horava-Lifshitz Gravity
• Detailed balance condition and ultraviolet stability of scalar field in Horava-Lifshitz gravity
• Black holes, compact objects and solar system tests in non-relativistic general covariant theory of gravity
• Horava-Lifshitz gravity with $\lambda \to \infty$
• Stability of cosmological solutions in F(R) Horava-Lifshitz gravity
• Scalar graviton in the healthy extension of Hořava-Lifshitz theory
• Quantum Interference Effects in Horava-Lifshitz Gravity
• Cosmological Perturbations in the "Healthy Extension'' of Horava-Lifshitz gravity
• Anisotropic Extra Dimensions
• Bounce scenarios in the Sotiriou-Visser-Weinfurtner generalization of the projectable Horava-Lifshitz gravity