# Dirac's reduction of linearized gravity in $N > 2$ dimensions revisited

## TL;DR

This paper revisits Dirac's method for analyzing linearized gravity in higher dimensions, focusing on gauge constraints and comparing it with the Maskawa-Nakajima reduction, providing insights into the gauge structure and consistency of the approach.

## Contribution

It offers a detailed review of Dirac's reduction procedure for linearized gravity in dimensions greater than two, emphasizing Coulomb gauge and its relation to other reduction methods.

## Key findings

- Dirac's procedure applied to higher-dimensional linearized gravity is consistent with Maskawa-Nakajima reduction.
- The Coulomb gauge provides a clear framework for analyzing gauge constraints in this context.
- Comparison of reduction methods enhances understanding of gauge theories in higher dimensions.

## Abstract

We perform a brief review on Dirac's procedure applied to the well known Einstein's linearized gravity in $N > 2$ dimensions. Considering it as a gauge theory and therefore the manifestation of second class constraints in analogy with the electromagnetic case, focussing our interest in the Coulomb's gauge. We also check the consistency with the Maskawa-Nakajima reduction procedure and end with some remarks on both procedures.