Horava-Lifshitz gravity: a status report

Abstract

This is intended to be a brief introduction and overview of Horava-Lifshitz gravity. The motivation and all of the various version of the theory (to date) are presented. The dynamics of the theory are discussed in some detail, with a focus on low energy viability and consistency, as these have been the issues that attracted most of the attention in the literature so far. Other properties of the theory and developments within its framework are also covered, such as: its relation to Einstein-aether theory, cosmology, and future perspectives.

17 pages, no figures, based on talk given at the 14th Conference on Recent Developments in Gravity (NEBXIV), Ioannina, Greece, 8-11 Jun 2010; v2: minor changes to match published version, references added

References in corpus (43)

• Quantum Gravity at a Lifshitz Point
• The Confrontation between General Relativity and Experiment
• Gravity with a dynamical preferred frame
• Membranes at Quantum Criticality
• Testing Einstein's special relativity with Fermi's short hard gamma-ray burst GRB090510
• A healthy extension of Horava gravity
• Horava-Lifshitz Cosmology
• Models of non-relativistic quantum gravity: the good, the bad and the healthy
• Strong coupling in Horava gravity
• Solutions to Horava Gravity
• Horava-Lifshitz Cosmology: A Review
• Quantum gravity without Lorentz invariance
• On the Extra Mode and Inconsistency of Horava Gravity
• Chiral Primordial Gravitational Waves from a Lifshitz Point
• Phenomenologically viable Lorentz-violating quantum gravity
• Lorentz symmetry breaking as a quantum field theory regulator
• Cosmology of the Lifshitz universe
• General Covariance in Quantum Gravity at a Lifshitz Point
• Probing quantum gravity using photons from a flare of the active galactic nucleus Markarian 501 observed by the MAGIC telescope
• Extended Horava gravity and Einstein-aether theory
• Constraining the New Aether: Gravitational Cherenkov Radiation
• Dark matter as integration constant in Horava-Lifshitz gravity
• Scale-invariant cosmological perturbations from Horava-Lifshitz gravity without inflation
• Lorentz Violation in Supersymmetric Field Theories
• Comment on `Strong coupling in extended Horava-Lifshitz gravity'
• A Trouble with Hořava-Lifshitz Gravity
• A dynamical inconsistency of Horava gravity
• Strong coupling in extended Horava-Lifshitz gravity
• Relativistic Quantum Gravity at a Lifshitz Point
• On the Renormalizability of Horava-Lifshitz-type Gravities
• Spherical Solutions in Einstein-Aether Theory: Static Aether and Stars
• Pathological behaviour of the scalar graviton in Hořava-Lifshitz gravity
• Detailed balance in Horava-Lifshitz gravity
• M2-branes on Orbifolds of the Cone over Q^{1,1,1}
• Lessons from the decoupling limit of Horava gravity
• An Alternative Approach for General Covariant Horava-Lifshitz Gravity and Matter Coupling
• Spherically symmetric solutions in modified Horava-Lifshitz gravity
• Projectable Horava-Lifshitz gravity in a nutshell
• Stability of spin-0 graviton and strong coupling in Horava-Lifshitz theory of gravity
• Cosmology in nonrelativistic general covariant theory of gravity
• Stability of the de Sitter spacetime in Horava-Lifshitz theory
• Power-counting renormalizability of generalized Horava gravity
• First Order Calculation of the Inclusive Cross Section pp to ZZ by Graviton Exchange in Large Extra Dimensions

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• Detecting Lorentz Violations with Gravitational Waves from Black Hole Binaries
• Initial value constraints with tensor matter
• Metric dimensional reduction at singularities with implications to Quantum Gravity
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• On higher-order corrections in a four-fermion Lifshitz model
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• On the self-consistency of compact objects in Lorentz-violating gravity theories
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• Curvature Late-Time Acceleration in an Eternal Universe
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• Non-singular Bouncing Cosmology in $f(R,G,T)$--Quintom model
• Diffeomorphism Invariance Breaking in Gravity and Cosmological Evolution
• New effective theories of gravitation and their phenomenological consequences
• On the energy flow of $\lambda$ in Hořava-Lifshitz cosmology