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Quasi-local mass and angular momentum in general relativity
Abstract
A new approach to defining energy-momentum and angular momentum in general relativity is presented which avoids some of the difficulties of previous definitions and which can be applied quasi-locally. It depends on the construction of a twistor space Tα(S) associated with any spacelike topological 2-sphere S. Though several problems of interpretation remain to be solved, the new definition works well at I+, reproducing the Bondi-mass-momentum as four of the ten precisely determined quantities at each cut of I+. The remaining six quantities provide a definition of angular momentum which appears to be new.
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Citations
Cited by
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
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
Noether's Theorems and Energy in General Relativity
De Haro, S. (2021) · arXiv · doi:10.48550/arxiv.2103.17160 · Cited by 44
General pseudotensors and quasilocal quantities
Nester, J. M. (2004) · Classical and Quantum Gravity · doi:10.1088/0264-9381/21/3/016 · Cited by 43
Quasi-local mass and cosmological singularities
Tod, K. P. (1987) · Classical and Quantum Gravity · doi:10.1088/0264-9381/4/5/038 · Cited by 29
Metadata
- Authors
- Penrose, R.
- Venue
- Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
- Publisher
- The Royal Society
- Published
- 1982-05-08
- Volume
- 381
- Issue
- 1780
- Pages
- 53-63
- ISSN
- 0080-4630 (ISSN-L)
- 2053-9169
- OpenAlex
- W2032003775
- Cited by
- 382
- References
- 0
- FWCI
- 12.77
- Type
- journal article
- Language
- en
- Open access
- closed
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- Penrose, R. (1982). Quasi-local mass and angular momentum in general relativity. Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences. https://doi.org/10.1098/rspa.1982.0058
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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