Hamiltonian analysis for new massive gravity

Abstract A detailed canonical analysis for three- dimensional massive gravity is performed. The construction of the fundamental Dirac brackets, the complete structure of the constraints and the counting of the physical degrees of freedom are reported. In addition, it is shown that the extended Hamil...

Full description

Bibliographic Details
Main Authors: Alberto Escalante, P. Fernando Ocaña-García
Format: Article
Language:English
Published: SpringerOpen 2023-11-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-023-12157-8
_version_ 1797233313271775232
author Alberto Escalante
P. Fernando Ocaña-García
author_facet Alberto Escalante
P. Fernando Ocaña-García
author_sort Alberto Escalante
collection DOAJ
description Abstract A detailed canonical analysis for three- dimensional massive gravity is performed. The construction of the fundamental Dirac brackets, the complete structure of the constraints and the counting of the physical degrees of freedom are reported. In addition, it is shown that the extended Hamiltonian is healed from Orstrogradki’s instabilities.
first_indexed 2024-03-10T17:09:48Z
format Article
id doaj.art-3e68e0cb97734b77ab021f83dd1f149e
institution Directory Open Access Journal
issn 1434-6052
language English
last_indexed 2024-04-24T16:14:11Z
publishDate 2023-11-01
publisher SpringerOpen
record_format Article
series European Physical Journal C: Particles and Fields
spelling doaj.art-3e68e0cb97734b77ab021f83dd1f149e2024-03-31T11:30:46ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-11-01831111010.1140/epjc/s10052-023-12157-8Hamiltonian analysis for new massive gravityAlberto Escalante0P. Fernando Ocaña-García1Instituto de Física, Benemérita Universidad Autónoma de PueblaInstituto de Física, Benemérita Universidad Autónoma de PueblaAbstract A detailed canonical analysis for three- dimensional massive gravity is performed. The construction of the fundamental Dirac brackets, the complete structure of the constraints and the counting of the physical degrees of freedom are reported. In addition, it is shown that the extended Hamiltonian is healed from Orstrogradki’s instabilities.https://doi.org/10.1140/epjc/s10052-023-12157-8
spellingShingle Alberto Escalante
P. Fernando Ocaña-García
Hamiltonian analysis for new massive gravity
European Physical Journal C: Particles and Fields
title Hamiltonian analysis for new massive gravity
title_full Hamiltonian analysis for new massive gravity
title_fullStr Hamiltonian analysis for new massive gravity
title_full_unstemmed Hamiltonian analysis for new massive gravity
title_short Hamiltonian analysis for new massive gravity
title_sort hamiltonian analysis for new massive gravity
url https://doi.org/10.1140/epjc/s10052-023-12157-8
work_keys_str_mv AT albertoescalante hamiltoniananalysisfornewmassivegravity
AT pfernandoocanagarcia hamiltoniananalysisfornewmassivegravity