Lagrangian analysis of `trivial' symmetries in models of gravity

TL;DR

This paper investigates the relationship between Poincare and canonical Hamiltonian symmetries in gravity models, demonstrating their equivalence up to trivial gauge symmetries using Noether identities.

Contribution

It clarifies the connection between different symmetry formulations in gravity models and shows their equivalence modulo trivial symmetries.

Findings

Poincare and canonical Hamiltonian symmetries are equivalent up to trivial gauge transformations.

Noether identities reveal the relationship between these symmetry types.

Trivial gauge symmetries do not affect the physical content of the models.

Abstract

We study the differences between Poincare and canonical hamiltonian symmetries in models of gravity through the corresponding Noether identities and show that they are equivalent modulo trivial gauge symmetries.