Two Dimensional F(R) Horava-Lifshitz Gravity

TL;DR

This paper explores the Hamiltonian formulation of two-dimensional F(R) Horava-Lifshitz gravity, analyzing its constraints, degrees of freedom, and gauge fixing to understand its fundamental structure.

Contribution

It provides a detailed Hamiltonian analysis of 2D F(R) Horava-Lifshitz gravity, clarifying the constraint structure and physical degrees of freedom, which was not previously well-understood.

Findings

Constraint structure characterized with separation of second class and first class constraints

Number of physical degrees of freedom determined

Gauge fixing procedures discussed for global first class constraints

Abstract

We study two-dimensional F(R) Horava-Lifshitz gravity from the Hamiltonian point of view. We determine constraints structure with emphasis on the careful separation of the second class constraints and global first class constraints. We determine number of physical degrees of freedom and also discuss gauge fixing of the global first class constraints.