Dynamical time and Ashtekar variables for the Husain-Kuchař model
The relation between the Husain-Kucha\ifmmode \check{r}\else \v{r}\fi{} model and some extensions thereof that incorporate a dynamical time variable is explored. To this end, we rely on the geometric approach to the Hamiltonian dynamics of singular (constrained) systems provided by the Gotay-Nester-Hinds method. We also use recent results regarding the derivation of the Ashtekar formulation for Euclidean general relativity without using the time gauge. The insights provided by the geometric approach followed in the paper shed light on several issues related to the dynamics of general relativity and the role of time.
Authors
- Eduardo J. S. Villaseñor (ORCID: https://orcid.org/0000-0003-2125-6171)
- J. Fernando Barbero G. (ORCID: https://orcid.org/0000-0001-7854-8146)
- Juan Margalef-Bentabol (ORCID: https://orcid.org/0000-0003-0118-6284)
- Aitor Vicente-Cano (ORCID: https://orcid.org/0000-0003-1064-5470)
Institutions
- Memorial University of Newfoundland (CA)
- Institut Català de Ciències del Clima (ES)
- Memorial (RU)
- Instituto de Estructura de la Materia (ES)
- Institut de Ciències del Cosmos (ES)
- Universidad Carlos III de Madrid (ES)
- Universitat de Barcelona (ES)
Publication Details
- Journal
- Physical review. D/Physical review. D.
- Published
- 2024-12-31
- DOI
- https://doi.org/10.1103/physrevd.110.124072
- Citations
- 1
- Primary Topic
- Noncommutative and Quantum Gravity Theories
- Type
- article
- Field-Weighted Citation Impact
- 0.28
Funders
- Comunidad de Madrid
- Ministerio de Ciencia, Innovación y Universidades