Internal time and gravity theories
type: Item
instance of: scholarly article
title: Internal time and gravity theories
zbMATH Open document ID: 1004.83009
DOI: 10.1023/A:1015262320842
author: A. Tiemblo
author: Romualdo Tresguerres
published in: General Relativity and Gravitation
publication date: 2002-07-09T00:00:00Z
review text: The authors analyze a certain treatment of reparametrization invariant theories that are described by singular Hamiltonians. It is shown that such kind of theories might be equivalent to a set of canonical evolution equations with respect to a certain internal time. This turns out to be much like Rovelli's relational time which replaces the parametric time evolution. If the formalism is used to describe gravitation, the authors find the nonlinear approach to gauge theories of gravity to provide a natural candidate to play the role of internal time. Since the Einstein-Hilbert action is known to be difficult to handle with respect to time evolution the authors propose a Jordan-Brans-Dicke action as an alternative. The authors show that such an action provides an internal time evolution if the scalar field is considered as identical with the nonlinear internal time.
reviewed by: Jürgen Tolksdorf
Mathematics Subject Classification ID: 83C05
Mathematics Subject Classification ID: 83D05
zbMATH DE Number: 1765080
zbMATH Keywords: singular Hamiltonians
zbMATH Keywords: Einstein-Hilbert action
zbMATH Keywords: Jordan-Brans-Dicke action
MaRDI profile type: Publication
cites work: Q4840214
cites work: Time evolution in the presence of gravity
cites work: Nonlinear gauge realization of spacetime symmetries including translations
cites work: General relativity with spin and torsion: Foundations and prospects
cites work: Hamiltonian Poincaré gauge theory of gravitation
cites work: Invariant Theoretical Interpretation of Interaction
cites work: J. J. Thomson
full work available at URL: a:1015262320842
OpenAlex ID: W134660822
description: scientific article; zbMATH DE number 1765080