A dynamical inconsistency of Hořava gravity

Asymptotic freedom in Hořava-Lifshitz gravity.

We use the Wetterich equation for foliated spacetimes to study the renormalization group flow of projectable Hořava-Lifshitz gravity coupled to n Lifshitz scalars. Using novel results for anisotropic heat kernels, the matter-induced beta functions for the gravitational couplings are computed explicitly. The renormalization group flow exhibits an UV attractive anisotropic Gaussian fixed point wh...

Stationary axisymmetric and slowly rotating spacetimes in Hořava-Lifshitz gravity.

Stationary, axisymmetric, and slowly rotating vacuum spacetimes in the Hořava-Lifshitz (HL) gravity are studied, and it is shown that, for any given spherical static vacuum solution of the HL theory (of any model, including the ones with an additional U(1) symmetry), there always exists a corresponding slowly rotating, stationary, and axisymmetric vacuum solution, which reduces to the former, w...

Dynamical Localization of Gravity

We dynamically construct Randall-Sundrum brane localized gravity from a 5-dimensional bulk scalar soliton field obeying a sine-Gordon equation, with the discrete brane Z2 symmetry arising from the discrete symmetry of the potential, and with the Minkowski brane Randall-Sundrum relation between bulk and brane cosmological constants being obtained naturally without any fine tuning. Additionally, ...

On inconsistency of a pairwise comparison matrix

String theory embeddings of nonrelativistic field theories and their holographic Hořava gravity duals.

We argue that generic nonrelativistic quantum field theories with a holographic description are dual to Hořava gravity. We construct explicit examples of this duality embedded in string theory by starting with relativistic dual pairs and taking a nonrelativistic scaling limit.