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ADM formalism
| General relativity |
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The Arnowitt–Deser–Misner (ADM) formalism (named for its authors Richard Arnowitt, Stanley Deser and Charles W. Misner) is a Hamiltonian formulation of general relativity that plays an important role in canonical quantum gravity and numerical relativity. It was first published in 1959.[2]
The comprehensive review of the formalism that the authors published in 1962[3] has been reprinted in the journal General Relativity and Gravitation,[4] while the original papers can be found in the archives of Physical Review.[2][5]
- ^ "ADM-50: A Celebration of Current GR Innovation". Archived from the original on 2011-07-20. Retrieved 2021-03-25.
- ^ a b Arnowitt, R.; Deser, S.; Misner, C. (1959). "Dynamical Structure and Definition of Energy in General Relativity" (PDF). Physical Review. 116 (5): 1322–1330. Bibcode:1959PhRv..116.1322A. doi:10.1103/PhysRev.116.1322.
- ^ Chapter 7 (pp. 227–265) of Louis Witten (ed.), Gravitation: An introduction to current research, Wiley: New York, 1962.
- ^ Arnowitt, R.; Deser, S.; Misner, C. (2008). "Republication of: The dynamics of general relativity". General Relativity and Gravitation. 40 (9): 1997–2027. arXiv:gr-qc/0405109. Bibcode:2008GReGr..40.1997A. doi:10.1007/s10714-008-0661-1. S2CID 14054267.
- ^ The papers are:
- Arnowitt, R.; Deser, S. (1959). "Quantum Theory of Gravitation: General Formulation and Linearized Theory" (PDF). Physical Review. 113 (2): 745–750. Bibcode:1959PhRv..113..745A. doi:10.1103/PhysRev.113.745.
- Arnowitt, R.; Deser, S.; Misner, C. (1960). "Canonical Variables for General Relativity" (PDF). Physical Review. 117 (6): 1595–1602. Bibcode:1960PhRv..117.1595A. doi:10.1103/PhysRev.117.1595. S2CID 120715041.
- Arnowitt, R.; Deser, S.; Misner, C. (1960). "Finite Self-Energy of Classical Point Particles" (PDF). Physical Review Letters. 4 (7): 375–377. Bibcode:1960PhRvL...4..375A. doi:10.1103/PhysRevLett.4.375.
- Arnowitt, R.; Deser, S.; Misner, C. (1960). "Energy and the Criteria for Radiation in General Relativity" (PDF). Physical Review. 118 (4): 1100–1104. Bibcode:1960PhRv..118.1100A. doi:10.1103/PhysRev.118.1100. S2CID 120947085.
- Arnowitt, R.; Deser, S.; Misner, C. (1960). "Gravitational-Electromagnetic Coupling and the Classical Self-Energy Problem" (PDF). Physical Review. 120 (1): 313–320. Bibcode:1960PhRv..120..313A. doi:10.1103/PhysRev.120.313. S2CID 122767689.
- Arnowitt, R.; Deser, S.; Misner, C. (1960). "Interior Schwarzschild Solutions and Interpretation of Source Terms" (PDF). Physical Review. 120 (1): 321–324. Bibcode:1960PhRv..120..321A. doi:10.1103/PhysRev.120.321. S2CID 121420368.
- Arnowitt, R.; Deser, S.; Misner, C. (1961). "Wave Zone in General Relativity" (PDF). Physical Review. 121 (5): 1556–1566. Bibcode:1961PhRv..121.1556A. doi:10.1103/PhysRev.121.1556. S2CID 123381338.
- Arnowitt, R.; Deser, S.; Misner, C. (1961). "Coordinate Invariance and Energy Expressions in General Relativity" (PDF). Physical Review. 122 (3): 997–1006. Bibcode:1961PhRv..122..997A. doi:10.1103/PhysRev.122.997.
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