Horava-Lifshitz gravity: a status report

TL;DR

This paper provides a comprehensive overview of Horava-Lifshitz gravity, discussing its motivations, various versions, dynamics, low-energy viability, and connections to other theories and cosmology.

Contribution

It offers a detailed summary of the current status, developments, and challenges of Horava-Lifshitz gravity, highlighting its theoretical foundations and potential implications.

Findings

Analysis of low-energy viability and consistency

Relations to Einstein-aether theory and cosmology

Discussion of future research directions

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.