# Hamiltonian of new general relativity using differential forms

## TL;DR

This paper presents an alternative derivation of the Hamiltonian and constraints for new general relativity theories using differential forms, confirming previous results obtained with tensor components.

## Contribution

It introduces a differential forms approach to derive the Hamiltonian of teleparallel gravity theories, providing an independent validation of earlier tensor-based methods.

## Key findings

- Both methods yield identical Hamiltonian structures.
- Theories can be grouped into 9 classes based on primary constraints.
- Differential forms simplify the derivation process.

## Abstract

In a recent work we derived the kinematic Hamiltonian and primary constraints of the new general relativity class of teleparallel gravity theories and showed that these theories can be grouped in 9 classes, based on the presence or absence of primary constraints in their Hamiltonian. Here we demonstrate an alternative approach towards this result, by using differential forms instead of tensor components throughout the calculation. We prove that also this alternative derivation yields the same results and show how they are related to each other.