Lagrange Multiplier Modified Horava-Lifshitz Gravity

TL;DR

This paper explores a modified version of Horava-Lifshitz gravity incorporating a Lagrange multiplier related to scalar curvature, analyzing its Hamiltonian structure and showing it retains the same degrees of freedom as General Relativity.

Contribution

It introduces a Lagrange multiplier term based on scalar curvature into Horava-Lifshitz gravity and derives its Hamiltonian formulation, demonstrating equivalent degrees of freedom to GR.

Findings

Constraint structure matches that of General Relativity

Hamiltonian formulation is successfully derived

Physical degrees of freedom are preserved

Abstract

We consider RFDiff invariant Horava-Lifshitz gravity action with additional Lagrange multiplier term that is a function of scalar curvature. We find its Hamiltonian formulation and we show that the constraint structure implies the same number of physical degrees of freedom as in General Relativity.