A new scalar-tensor realization of Hořava-Lifshitz gravity

Abstract

We discuss a new covariant scalar-tensor system aimed to realise Hořava proposal for a power-counting renormalizable theory of gravity, with the special feature of not propagating scalar degrees of freedom in an appropriate gauge. The theory is characterized by a new symmetry acting on the metric, that can protect the particular form of its interactions. The set-up spontaneously breaks Lorentz symmetry by means of a time-like scalar field profile. By selecting a unitary gauge for the scalar, we show that this theory describes the dynamics of a spin two degree of freedom, whose equations of motion contain two time derivatives and up to six spatial derivatives. We analytically determine asymptotically flat, spherically symmetric configurations, showing that there exists a branch of solutions physically equivalent to spherically symmetric configurations in General Relativity, also in the presence of matter fields.

arXiv commentAdded sections and several improvements, version accepted for publication. 23 pages, 1 figure

References in corpus (57)

• Quantum Gravity at a Lifshitz Point
• Gravity with a dynamical preferred frame
• Membranes at Quantum Criticality
• Healthy theories beyond Horndeski
• Theoretical Physics Implications of the Binary Black-Hole Mergers GW150914 and GW151226
• A healthy extension of Horava gravity
• Degenerate higher derivative theories beyond Horndeski: evading the Ostrogradski instability
• Transforming gravity: from derivative couplings to matter to second-order scalar-tensor theories beyond the Horndeski Lagrangian
• Black hole hair in generalized scalar-tensor gravity
• The Relation between Physical and Gravitational Geometry
• Exploring gravitational theories beyond Horndeski
• Black hole hair in generalized scalar-tensor gravity: An explicit example
• Degenerate higher order scalar-tensor theories beyond Horndeski up to cubic order
• Extended Scalar-Tensor Theories of Gravity
• Generalization of the Proca Action
• Models of non-relativistic quantum gravity: the good, the bad and the healthy
• Strong coupling in Horava gravity
• Mimetic Dark Matter
• Degenerate higher order scalar-tensor theories beyond Horndeski and disformal transformations
• Horava-Lifshitz Cosmology: A Review
• On the Extra Mode and Inconsistency of Horava Gravity
• Phenomenologically viable Lorentz-violating quantum gravity
• General Covariance in Quantum Gravity at a Lifshitz Point
• Cuscuton: A Causal Field Theory with an Infinite Speed of Sound
• Cosmic Acceleration from Abelian Symmetry Breaking
• Disformal invariance of second order tensor-scalar theories: framing the Horndeski action
• Black holes in Einstein-aether and Horava-Lifshitz gravity
• Horava-Lifshitz gravity: a status report
• Some remarks on high derivative quantum gravity
• Asymptotically flat black holes in Horndeski theory and beyond
• Superrenormalizable quantum gravity with complex ghosts
• Hamiltonian analysis of higher derivative scalar-tensor theories
• Hořava Gravity at a Lifshitz Point: A Progress Report
• Horava gravity vs. thermodynamics: the black hole case
• Renormalization of Horava Gravity
• Horndeski: beyond, or not beyond?
• Beyond Lovelock gravity: Higher derivative metric theories
• Cuscuton and low energy limit of Horava-Lifshitz gravity
• Black holes in Lorentz-violating gravity theories
• Hořava Gravity after GW170817
• "Shadowy" modes in Higher-Order Scalar-Tensor theories
• Ostrogradsky in Theories with Multiple Fields
• Extended Cuscuton: Formulation
• Covariant renormalizable gravity and its FRW cosmology
• An Alternative Approach for General Covariant Horava-Lifshitz Gravity and Matter Coupling
• U(1) symmetry and elimination of spin-0 gravitons in Horava-Lifshitz gravity without the projectability condition
• A small cosmological constant from Abelian symmetry breaking
• Phenomenology of theories of gravity without Lorentz invariance: the preferred frame case
• Hamiltonian analysis of the cuscuton
• Caustics for Spherical Waves
• Stability, ghost, and strong coupling in nonrelativistic general covariant theory of gravity with $\lambda \ne 1$
• Revisiting the cuscuton as a Lorentz-violating gravity theory
• Black holes and global structures of spherical spacetimes in Horava-Lifshitz theory
• A geometrical approach to degenerate scalar-tensor theories
• An exact solution for a rotating black hole in modified gravity
• Constraint on modified dispersion relations for gravitational waves from gravitational Cherenkov radiation
• Stealth configurations in vector-tensor theories of gravity

Cited by in corpus (13)

• General Relativity solutions with stealth scalar hair in quadratic higher-order scalar-tensor theories
• Spatially covariant gravity theories with two tensorial degrees of freedom: the formalism
• Invertible disformal transformations with higher derivatives
• Black hole perturbations in DHOST theories: Master variables, gradient instability, and strong coupling
• Extended Cuscuton as Dark Energy
• Linear stability of black holes with static scalar hair in full Horndeski theories: generic instabilities and surviving models
• Spatially covariant gravity with two degrees of freedom: perturbative analysis
• Towards a viable effective field theory of mimetic gravity
• Covariant 3+1 correspondence of the spatially covariant gravity and the degeneracy conditions
• Symmetries for scalarless scalar theories
• Theories with limited extrinsic curvature and a nonsingular anisotropic universe
• Spatially homogeneous black hole solutions in $z=4$ Hořava-Lifshitz gravity in $(4+1)$ dimensions with Nil geometry and $H^2\times R$ horizons
• Spatially covariant gravity with two degrees of freedom in the presence of an auxiliary scalar field: Hamiltonian analysis