Comment on Holst’s Lagrangian formulation
Abstract
We make two observations about Holst's derivation of Barbero's Hamiltonian formulation from a covariant Lagrangian. While Holst's derivation does appear to be correct, there are two points in the derivation which may be worth clarifying. These concern the choice of time gauge and the manner in which the Hamiltonian variables are defined in terms of the covariant ones. We emphasize that our observations in no way affect the validity of Holst's result.
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Real Ashtekar variables for Lorentzian signature space-times
Barbero G., J. F. (1995) · Physical Review D · doi:10.1103/physrevd.51.5507 · Cited by 758 · see citing works
Barbero's Hamiltonian derived from a generalized Hilbert-Palatini action
Holst, S. (1996) · Physical Review D · doi:10.1103/physrevd.53.5966 · Cited by 576 · see citing works
Covariant action for Ashtekar's form of canonical gravity
Ted Jacobson, A., & Smolin, L. (1988) · Classical and Quantum Gravity · doi:10.1088/0264-9381/5/4/006 · Cited by 193 · see citing works
A lagrangian basis for ashtekar’s reformulation of canonical gravity
Samuel, J. (1987) · Pramana · doi:10.1007/bf02847105 · Cited by 181 · see citing works
Self-citation<i>SO</i> (4, <i>C</i> )-covariant Ashtekar-Barbero gravity and the Immirzi parameter
Alexandrov, S. (2000) · Classical and Quantum Gravity · doi:10.1088/0264-9381/17/20/307 · Cited by 112 · see citing works
Is Barbero's Hamiltonian formulation a gauge theory of Lorentzian gravity?
Samuel, J. (2000) · Classical and Quantum Gravity · doi:10.1088/0264-9381/17/20/101 · Cited by 83 · see citing works
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Alexandrov, S., & Livine, E. R. (2003) · Physical Review D · doi:10.1103/physrevd.67.044009 · Cited by 141 · see citing works
Area spectrum in Lorentz covariant loop gravity
Alexandrov, S., & Vassilevich, D. (2001) · Physical Review D · doi:10.1103/physrevd.64.044023 · Cited by 68 · see citing works
- Authors
- Samuel, J.
- Affiliations
- Raman Research Institute (IN)
- Corresponding author
- Samuel, Joseph
- ORCID
- Samuel, Joseph
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2001-02-09
- Volume
- 63
- Issue
- 6
- ISSN
- 0556-2821 (ISSN-L)
- 1089-4918
- OpenAlex
- W2080611078
- Cited by
- 11
- References
- 6
- Citations by year
- 2022: 1 · 2016: 1
- FWCI
- 0.70
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
- 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 › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Keywords
- covariant Lagrangian, time gauge, general relativity, Ashtekar variables, tetrad formulation
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