Review of the Hamiltonian analysis in teleparallel gravity

We review different approaches to the Hamiltonian analysis of teleparallel theories of gravity. In particular, the Hamiltonian analysis for f ( ) theories led to disputed results in the literature. The aim of this review is to relate the different notations and assumptions in the different approache...

Full description

Saved in:
Bibliographic Details
Published inInternational journal of geometric methods in modern physics Vol. 18; no. supp01; p. 2130005
Main Authors Blixt, Daniel, Guzmán, María-José, Hohmann, Manuel, Pfeifer, Christian
Format Journal Article
LanguageEnglish
Published Singapore World Scientific Publishing Company 01.07.2021
World Scientific Publishing Co. Pte., Ltd
Subjects
Relativity
Teleparallel gravity
Hamiltonian formalism
Online AccessGet full text
ISSN0219-8878
1793-6977
DOI10.1142/S0219887821300051

Cover

More Information
Summary:We review different approaches to the Hamiltonian analysis of teleparallel theories of gravity. In particular, the Hamiltonian analysis for f ( ) theories led to disputed results in the literature. The aim of this review is to relate the different notations and assumptions in the different approaches in a comprehensive way, so that they can be compared more easily. To do this we present the primary constraints of the f ( NGR ) gravity class of theories for the first time. The particular cases studied in the literature, f ( ) gravity and new general relativity, are contained in this parent theory. We compare their Hamiltonian analyses done by different authors in the literature among each other by relating them to our analysis of f ( NGR ) in detail.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0219-8878
1793-6977
DOI:10.1142/S0219887821300051