HAMILTONIAN ANALYSIS OF GENERAL RELATIVITY WITH THE IMMIRZI PARAMETER
Open accessAbstract
Starting from a Lagrangian we perform the full constraint analysis of the Hamiltonian for General relativity in the tetrad-connection formulation for an arbitrary value of the Immirzi parameter and solve the second class constraints, presenting the theory with a Hamiltonian composed of first class constraints which are the generators of the gauge symmetries of the action. In the time gauge we then recover Barbero's formulation of gravity.
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References 6 · Cited by 95
- Authors
- SÁ, N. B. E.
- Affiliations
- Universidade dos Açores (PT)
- Corresponding author
- SÁ, NUNO BARROS E
- ORCID
- SÁ, NUNO BARROS E
- Venue
- International Journal of Modern Physics D
- Publisher
- World Scientific Pub Co Pte Ltd
- Published
- 2001-06
- Volume
- 10
- Issue
- 03
- Pages
- 261-272
- ISSN
- 0218-2718 (ISSN-L)
- 1793-6594
- OpenAlex
- W2042762308
- Cited by
- 95
- References
- 6
- Citations by year
- 2026: 1 · 2025: 1 · 2024: 3 · 2023: 5 · 2022: 1 · 2021: 6 · 2020: 3 · 2019: 4 · 2018: 4 · 2017: 6 · 2016: 3 · 2015: 2 · 2014: 3 · 2013: 8 · 2012: 9
- FWCI
- 1.02
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- International Journal of Modern Physics D (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Keywords
- Immirzi parameter, general relativity, Hamiltonian analysis, second-class constraints, first-class constraints, time gauge, gauge invariance, loop quantum gravity
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