Gauge invariances vis-{\'a}-vis Diffeomorphisms in second order metric gravity: A new Hamiltonian approach

TL;DR

This paper presents a new Hamiltonian analysis of gauge invariances and their relation to diffeomorphism invariances in second order metric gravity, clarifying their connection using Dirac's constrained Hamiltonian method.

Contribution

It introduces a novel Hamiltonian approach to unify gauge invariances with diffeomorphisms in second order metric gravity.

Findings

Clarifies the relationship between gauge invariances and diffeomorphisms.

Provides a consistent Hamiltonian framework following Dirac's method.

Enhances understanding of symmetry structures in metric gravity.

Abstract

A new analysis of the gauge invariances and their unity with diffeomorphism invariances in second order metric gravity is presented which strictly follows Dirac's constrained Hamiltonian approach.