Horava-Lifshitz f(R) Gravity

TL;DR

This paper introduces new f(R) gravity theories inspired by Horava-Lifshitz framework, exploring models with and without the projectability condition based on detailed balance principle.

Contribution

It constructs novel Horava-Lifshitz f(R) gravity models incorporating the detailed balance principle and analyzes their differences with and without the projectability condition.

Findings

New classes of f(R) gravity models based on Horava-Lifshitz theory.

Comparison of models with and without projectability condition.

Foundation for further phenomenological and cosmological studies.

Abstract

This paper is devoted to the construction of new type of f(R) theories of gravity that are based on the principle of detailed balance. We discuss two versions of these theories with and without the projectability condition.