Chiral gravitational waves from z=2 Ho\v{r}ava-Lifshitz gravity

TL;DR

This paper constructs chiral gravitational waves within the $z=2$ Hořava-Lifshitz gravity framework, revealing their potential connection to the generalized uncertainty principle and analyzing IR-UV transition rules.

Contribution

It introduces a method to derive chiral gravitational waves from $z=2$ Hořava-Lifshitz gravity with a Chern-Simons term, highlighting novel features of this gravity model.

Findings

Identification of chiral gravitational waves in $z=2$ Hořava-Lifshitz gravity

Relation to the generalized uncertainty principle

Classical and quantum IR-UV transition rules

Abstract

We construct the chiral gravitational waves from the $z=2$ Ho\v{r}ava-Lifshitz gravity with gravitational Chern-Simons term in the de Sitter and Minkowski backgrounds. These gravitational waves which show a feature of the Ho\v{r}ava-Lifshitz gravity may be related to the generalized uncertainty principle. In addition, we find the classical and quantum IR-UV transition rules in the $z=2$ Ho\v{r}ava-Lifshitz gravity.