Hamiltonian of new general relativity using differential forms

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.

4 pages, no figures; to appear in the conference proceedings of the 10th Alexander Friedmann International Seminar, International Journal of Modern Physics A, World Scientific Publishing Company

References in corpus (2)

• Hamiltonian and primary constraints of new general relativity
• On the gauge fixing in the Hamiltonian analysis of general teleparallel theories

Cited by in corpus (6)

• Teleparallel Gravity: From Theory to Cosmology
• Review of the Hamiltonian analysis in teleparallel gravity
• Spherically symmetric vacuum solutions in 1-Parameter New General Relativity and their phenomenology
• Classification of primary constraints for new general relativity in the premetric approach
• Teleparallel bigravity
• Canonical aspects of pregeometric vector-based first order gauge theory