Hamiltonian Analysis of Mixed Derivative Horava-Lifshitz Gravity
J. Kluson

TL;DR
This paper performs a canonical analysis of mixed derivative Horava-Lifshitz gravity, revealing an additional scalar degree of freedom compared to the standard non-projectable version, and details the constraint algebra.
Contribution
It provides the first detailed Hamiltonian analysis of this modified gravity theory, identifying the extra degree of freedom and its implications.
Findings
Identifies an extra scalar degree of freedom
Determines the algebra of constraints in the theory
Highlights differences from standard Horava-Lifshitz gravity
Abstract
This short note is devoted to the canonical analysis of the Horava-Lifshitz gravity with mixed derivative terms that was proposed in arXiv:1604.04215. We determine the algebra of constraints and we show that there is one additional scalar degree of freedom with respect to the non-projectable Horava-Lifshitz gravity.
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