Hamiltonian Gotay-Nester-Hinds analysis of the parametrized unimodular extension of the Holst action Articles uri icon

publication date

  • March 2021

start page

  • 064062

issue

  • 6

volume

  • 103

International Standard Serial Number (ISSN)

  • 2470-0010

abstract

  • We give a detailed account of the Hamiltonian Gotay-Nester-Hinds (GNH) analysis of the parametrized unimodular extension of the Holst action. The purpose of the paper is to derive, through the clear geometric picture furnished by the GNH method, a simple Hamiltonian formulation for this model and explain why it is difficult to arrive at it in other approaches. We will also show how to take advantage of the field equations to anticipate the simple form of the constraints that we find in the paper.

keywords

  • gauge theories; general relativity; gravitation; geometry; mathematical physics methods; holst action; gnh method; hamiltonian formulation; unimodular gravity; parametrized field theory