Barbero's Hamiltonian derived from a generalized Hilbert-Palatini action
Open accessAbstract
Barbero recently suggested a modification of Ashtekar's choice of canonical variables for general relativity. Although leading to a more complicated Hamiltonian constraint this modified version, in which the configuration variable still is a connection, has the advantage of being real. In this article we derive Barbero's Hamiltonian formulation from an action, which can be considered as a generalization of the ordinary Hilbert-Palatini action.
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- Authors
- Holst, S.
- Affiliations
- Stockholm University (SE)
- Corresponding author
- Holst, Sören
- ORCID
- Holst, Sören
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1996-05-15
- Volume
- 53
- Issue
- 10
- Pages
- 5966-5969
- ISSN
- 0556-2821 (ISSN-L)
- 1089-4918
- OpenAlex
- W2167425851
- Cited by
- 576
- References
- 9
- Citations by year
- 2026: 20 · 2025: 38 · 2024: 16 · 2023: 31 · 2022: 24 · 2021: 39 · 2020: 29 · 2019: 27 · 2018: 24 · 2017: 26 · 2016: 17 · 2015: 19 · 2014: 25 · 2013: 25 · 2012: 39
- FWCI
- 2.09
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Keywords
- Hamiltonian constraint, canonical variables, general relativity, Hamiltonian formulation, loop quantum gravity
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