A bstract The gravitational asymptotic safety program envisions a high-energy completion of
gravity based on a non-Gaussian renormalization group fixed point. A key step in this …

Hořava gravity breaks Lorentz symmetry by introducing a preferred spacetime foliation,
which is defined by a timelike dynamical scalar field, the khronon. The presence of this …

We investigate a model that modifies general relativity on cosmological scales, specifically
by having aglitch'in the gravitational constant between the cosmological (super-horizon) and …

We set up a covariant renormalisation group equation on a foliated spacetime which
preserves background diffeomorphism symmetry. As a first application of the new formalism …

Hořava gravity is a proposal for a UV completion of gravitation obtained by endowing the
space-time manifold with a preferred foliation in space-like hypersurfaces. This allows for a …

Violations of Lorentz (and specifically boost) invariance can make gravity renormalizable in
the ultraviolet, as initially noted by Hořava, but are increasingly constrained in the infrared …

We perform the Batalin-Fradkin-Vilkovisky (BFV) quantization of the 2+ 1 projectable and the
3+ 1 nonprojectable versions of the Hořava theory. This is a Hamiltonian formalism, and …

Hořava-Lifshitz gravity has been proposed as a renormalizable and ghost-free quantum
gravity model candidate with an anisotropic UV-scaling between space and time. We …

Hořava gravity breaks boost invariance in the gravitational sector by introducing a preferred
time foliation. The dynamics of this preferred slicing is governed, in the low-energy limit …

The Hamiltonian formulation of the lowest-order projectable Horava gravity, namely the so-
called λ-R gravity, is studied. Since a preferred foliation has been chosen in projectable …