The DOI matches its Crossref record; 28 of the 28 references it cites were found in a registry or an index.
Pseudotensors and Quasilocal Energy-Momentum
Open accessAbstract
Early energy-momentum investigations for gravitating systems gave reference-frame-dependent pseudotensors; later the quasilocal idea was developed. Quasilocal energy-momentum can be determined by the Hamiltonian boundary term, which also identifies the variables to be held fixed on the boundary. We show that a pseudotensor corresponds to a Hamiltonian boundary term. Hence, they are quasilocal and acceptable; each is the energy-momentum density for a definite physical situation with certain boundary conditions. These conditions are identified for well-known pseudotensors.
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“There is some resistance to such claims, however, including new ideas for dealing with the two main problems, the non-uniqueness (Chang et al. 1999) and coordinate dependence (Pitts 2010) of pseudotensors; in both cases there is suggestion that multiplicity is a meaningful virtue rather than a defect.”
From General Relativity, Mental Causation, and Energy Conservation (2022) · cites this paper as Chang et al. 1999
In the citing paper
“These authors show that, under assumptions that I will discuss in Sections 5 and 6, this expression can be obtained from the covariant Hamiltonian formalism of general relativity.”
From Noether's Theorems and Energy in General Relativity (2021) · cites this paper as Chang et al. (1999)
In the citing paper
“(this then agrees with results by Chang et al. (1999: p. 1898) in the Hamiltonian formalism).”
From Noether's Theorems and Energy in General Relativity (2021) · cites this paper as Chang et al. (1999: p. 1898)
Citations
Cites
The Classical Theory of Fields
Helrich, C. S. (2012) · Graduate texts in physics · doi:10.1007/978-3-642-23205-3 · Cited by 2,856
Gravitation, an introduction to current research
Sewell, G. L. (1963) · Journal of the Franklin Institute · doi:10.1016/0016-0032(63)90691-4 · Cited by 2,050
Gravitation: an Introduction to current research
Witten, L. (1962) · CERN Document Server (European Organization for Nuclear Research) · Cited by 2,004
Quasilocal energy and conserved charges derived from the gravitational action
Brown, J. D., & York, J. W. (1993) · Physical Review D · doi:10.1103/physrevd.47.1407 · Cited by 1,793
Cho, Y. M., Lee, C., & Kim, S.-W. (1999) · Gravitation and Cosmology · doi:10.1142/9789814527859 · Cited by 1,605
Role of surface integrals in the Hamiltonian formulation of general relativity
Regge, T., & Teitelboim, C. (1974) · Annals of Physics · doi:10.1016/0003-4916(74)90404-7 · Cited by 1,424
On the localization of the energy of a physical system in the general theory of relativity
Møller, C. (1958) · Annals of Physics · doi:10.1016/0003-4916(58)90053-8 · Cited by 381
A Symplectic Framework for Field Theories
Kijowski, J., & Tulczyjew, W. M. (1979) · Springer eBooks · doi:10.1007/3-540-09538-1 · Cited by 351
Gravitation and Electromagnetism
Gupta, S. N. (1954) · Physical Review · doi:10.1103/physrev.96.1683 · Cited by 305
Quasilocal gravitational energy
Hayward, S. A. (1994) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.49.831 · Cited by 282
Spin and Angular Momentum in General Relativity
Bergmann, P. G., & Thomson, R. (1953) · Physical Review · doi:10.1103/physrev.89.400 · Cited by 261
Conservation Laws in General Relativity
Goldberg, J. N. (1958) · Physical Review · doi:10.1103/physrev.111.315 · Cited by 252
Energy and angular momentum of charged rotating black holes
Aguirregabiria, J. M., Chamorro, A., & Virbhadra, K. S. (1996) · General Relativity and Gravitation · doi:10.1007/bf02109529 · Cited by 205
A Simple Derivation of Canonical Structure and Quasi-local Hamiltonians in General Relativity
Kijowski, J. (1997) · General Relativity and Gravitation · doi:10.1023/a:1010268818255 · Cited by 182
Relativistic conservation laws and integral constraints for large cosmological perturbations
Katz, J., Bičák, J., & Donald Lynden-bell, A. (1997) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.55.5957 · Cited by 157
Quasilocal quantities for general relativity and other gravity theories
Chen, C.-M., & Nester, J. M. (1999) · Classical and Quantum Gravity · doi:10.1088/0264-9381/16/4/018 · Cited by 128
Self-citationEnergy-momentum conservation in gravity theories
Dongsu Bak, A., Cangemi, D., & Jackiw, R. (1994) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.49.5173 · Cited by 118
Mathematics and General Relativity
Isenberg, J. A. (1988) · Contemporary mathematics - American Mathematical Society · doi:10.1090/conm/071 · Cited by 111
Conservation laws and integrability conditions for gravitational and Yang-Mills field equations
Dubois‐Violette, M., & Madore, J. (1987) · Communications in Mathematical Physics · doi:10.1007/bf01210612 · Cited by 66
On canonical pseudotensors, Sparling's form and Noether currents
Szabados, L. B. (1992) · Classical and Quantum Gravity · doi:10.1088/0264-9381/9/11/017 · Cited by 63
Quasilocal energy-momentum for geometric gravity theories
Chen, C.-M., Nester, J. M., & Tung, R.-S. (1995) · Physics Letters A · doi:10.1016/0375-9601(95)92844-t · Cited by 55
Self-citationA COVARIANT HAMILTONIAN FOR GRAVITY THEORIES
Nester, J. M. (1991) · Modern Physics Letters A · doi:10.1142/s0217732391003092 · Cited by 53
Self-citationPositivity and definitions of mass (general relativity)
Bergqvist, G. (1992) · Classical and Quantum Gravity · doi:10.1088/0264-9381/9/8/012 · Cited by 48
The localization of energy in gauge field theories and in linear gravitation
Jezierski, J., & Kijowski, J. (1990) · General Relativity and Gravitation · doi:10.1007/bf00756810 · Cited by 36
Asymptotic Behavior of Mass and Spacetime Geometry
Flaherty, F. (1984) · Lecture notes in physics · doi:10.1007/bfb0048062 · Cited by 35
Geometric description of energy-momentum pseudotensors
Frauendiener, J. (1989) · Classical and Quantum Gravity · doi:10.1088/0264-9381/6/12/001 · Cited by 32
Two-dimensional Sen connections and quasi-local energy--momentum
Szabados, L. B. (1994) · Classical and Quantum Gravity · doi:10.1088/0264-9381/11/7/020 · Cited by 26
Canonical variables and quasilocal energy in general relativity
Lau, S. (1993) · Classical and Quantum Gravity · doi:10.1088/0264-9381/10/11/021 · Cited by 17
Flagged first, then by citations
Research works printed but not linked: 3
- A. Papapetrou, 1948, Proc. R. Ir. Acad. A, 52, 11
- C. W. Misner, 1973, Gravitation
- R. P. Wallner, 1980, Acta Phys. Austriaca, 52, 121
Cited by
Sorted by citations
Quasi-Local Energy-Momentum and Angular Momentum in General Relativity
Szabados, L. B. (2009) · Living Reviews in Relativity · doi:10.12942/lrr-2009-4 · Cited by 351
Quasi-Local Energy-Momentum and Angular Momentum in GR: A Review Article
Szabados, L. B. (2004) · Living Reviews in Relativity · doi:10.12942/lrr-2004-4 · Cited by 314
TORSION GRAVITY: A REAPPRAISAL
ARCOS, H. I., & PEREIRA, J. G. (2004) · International Journal of Modern Physics D · doi:10.1142/s0218271804006462 · Cited by 304
Gravitational Energy-Momentum Density in Teleparallel Gravity
de Andrade, V. C., Guillen, L. C. T., & Pereira, J. G. (2000) · Physical Review Letters · doi:10.1103/physrevlett.84.4533 · Cited by 227
Energy and angular momentum of the gravitational field in the teleparallel geometry
Maluf, J. W., da Rocha-Neto, J. F., Toríbio, T. M. L., & Castello-Branco, K. H. C. (2002) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.65.124001 · Cited by 145
Metadata
- Authors
- Chang, C.-C., Nester, J. M., & Chen, C.-M.
- Affiliations
- National Central University (TW)
- Lomonosov Moscow State University (RU)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1999-09-06
- Volume
- 83
- Issue
- 10
- Pages
- 1897-1901
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2017768306
- Cited by
- 189
- References
- 28
- Citations by year
- 2026: 1 · 2025: 2 · 2024: 4 · 2023: 2 · 2022: 9 · 2021: 2 · 2020: 6 · 2019: 3 · 2018: 5 · 2017: 4 · 2016: 4 · 2015: 7 · 2014: 7 · 2013: 7 · 2012: 10
- FWCI
- 4.37
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (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 › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Keywords
- pseudotensors, energy-momentum density, boundary conditions, gravitational energy, reference frame dependence
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review