Canonical Analysis of General Relativity Formulated with the New Metric f^{ab}=(-g)^{\alpha}g^{ab}

TL;DR

This paper explores the canonical formalism of a generalized metric formulation of General Relativity, deriving the Hamiltonian and confirming the constraint structure aligns with the standard approach.

Contribution

It introduces a canonical analysis for a new metric formulation of General Relativity, demonstrating the Hamiltonian and constraints are consistent with the traditional formulation.

Findings

Hamiltonian derived for the new metric formulation

Constraint structure remains unchanged from standard General Relativity

Validates the new metric approach as a consistent canonical formalism

Abstract

In this short note we investigate canonical formalism for General Relativity which is formulated with the metric f^{ab}=(-g)^\alpha g^{ab}. We find corresponding Hamiltonian and we show that constraint structure is the same as in the standard formulation.