Formalismo ADM

Il formalismo ADM, dalle iniziali degli autori Richard Arnowitt, Stanley Deser e Charles W. Misner, è una formulazione hamiltoniana della relatività generale che gioca un ruolo importante sia nella gravità quantistica, sia nella relatività numerica.^[3]

Il lavoro originale del 1959 può essere trovato in Physical Review archives.^[3]^[4]^[5]^[6]^[7]^[8]^[9]^[10]^[11] Una rassegna estesa di tale formalismo è stata pubblicata dagli stessi autori nel 1962.^[12] Tale contributo è stato ripubblicato nel 2008.^[13]

^ ADM-50: A Celebration of Current GR Innovation, su adm-50.physics.tamu.edu. URL consultato il 2 aprile 2021 (archiviato dall'url originale il 20 luglio 2011).
^ "Dynamical Structure and Definition of Energy in General Relativity" Arnowitt, R., Deser, S., & Misner, C., The Physical Review, 116:1322-1330, 1959
^ ^a ^b R. Arnowitt, S. Deser e C. Misner, Dynamical Structure and Definition of Energy in General Relativity, in Physical Review, vol. 116, n. 5, 1959, pp. 1322–1330, Bibcode:1959PhRv..116.1322A, DOI:10.1103/PhysRev.116.1322.
^ R. Arnowitt e S. Deser, Quantum Theory of Gravitation: General Formulation and Linearized Theory, in Physical Review, vol. 113, n. 2, 1959, pp. 745–750, Bibcode:1959PhRv..113..745A, DOI:10.1103/PhysRev.113.745.
^ R. Arnowitt, S. Deser e C. Misner, Canonical Variables for General Relativity, in Physical Review, vol. 117, n. 6, 1960, pp. 1595–1602, Bibcode:1960PhRv..117.1595A, DOI:10.1103/PhysRev.117.1595.
^ R. Arnowitt, S. Deser e C. Misner, Finite Self-Energy of Classical Point Particles, in Physical Review Letters, vol. 4, n. 7, 1960, pp. 375–377, Bibcode:1960PhRvL...4..375A, DOI:10.1103/PhysRevLett.4.375.
^ R. Arnowitt, S. Deser e C. Misner, Energy and the Criteria for Radiation in General Relativity, in Physical Review, vol. 118, n. 4, 1960, pp. 1100–1104, Bibcode:1960PhRv..118.1100A, DOI:10.1103/PhysRev.118.1100.
^ R. Arnowitt, S. Deser e C. Misner, Gravitational-Electromagnetic Coupling and the Classical Self-Energy Problem, in Physical Review, vol. 120, 1960, pp. 313–320, Bibcode:1960PhRv..120..313A, DOI:10.1103/PhysRev.120.313.
^ R. Arnowitt, S. Deser e C. Misner, Interior Schwarzschild Solutions and Interpretation of Source Terms, in Physical Review, vol. 120, 1960, pp. 321–324, Bibcode:1960PhRv..120..321A, DOI:10.1103/PhysRev.120.321.
^ R. Arnowitt, S. Deser e C. Misner, Wave Zone in General Relativity, in Physical Review, vol. 121, n. 5, 1961, pp. 1556–1566, Bibcode:1961PhRv..121.1556A, DOI:10.1103/PhysRev.121.1556.
^ R. Arnowitt, S. Deser e C. Misner, Coordinate Invariance and Energy Expressions in General Relativity, in Physical Review, vol. 122, n. 3, 1961, pp. 997–1006, Bibcode:1961PhRv..122..997A, DOI:10.1103/PhysRev.122.997.
^ Gravitation: An introduction to current research Louis Witten (editor), Wiley NY (1962); capitolo 7, pp. 227–265.
^ R. Arnowitt, S. Deser e C. Misner, Republication of: The dynamics of general relativity, in General Relativity and Gravitation, vol. 40, n. 9, 2008, pp. 1997–2027, Bibcode:2008GReGr..40.1997A, DOI:10.1007/s10714-008-0661-1, arXiv:gr-qc/0405109.

[1] ADM-50: A Celebration of Current GR Innovation, su adm-50.physics.tamu.edu. URL consultato il 2 aprile 2021 (archiviato dall'url originale il 20 luglio 2011).

[2] "Dynamical Structure and Definition of Energy in General Relativity" Arnowitt, R., Deser, S., & Misner, C., The Physical Review, 116:1322-1330, 1959

[ADM-3] R. Arnowitt, S. Deser e C. Misner, Dynamical Structure and Definition of Energy in General Relativity, in Physical Review, vol. 116, n. 5, 1959, pp. 1322–1330, Bibcode:1959PhRv..116.1322A, DOI:10.1103/PhysRev.116.1322.

[4] R. Arnowitt e S. Deser, Quantum Theory of Gravitation: General Formulation and Linearized Theory, in Physical Review, vol. 113, n. 2, 1959, pp. 745–750, Bibcode:1959PhRv..113..745A, DOI:10.1103/PhysRev.113.745.

[5] R. Arnowitt, S. Deser e C. Misner, Canonical Variables for General Relativity, in Physical Review, vol. 117, n. 6, 1960, pp. 1595–1602, Bibcode:1960PhRv..117.1595A, DOI:10.1103/PhysRev.117.1595.

[6] R. Arnowitt, S. Deser e C. Misner, Finite Self-Energy of Classical Point Particles, in Physical Review Letters, vol. 4, n. 7, 1960, pp. 375–377, Bibcode:1960PhRvL...4..375A, DOI:10.1103/PhysRevLett.4.375.

[7] R. Arnowitt, S. Deser e C. Misner, Energy and the Criteria for Radiation in General Relativity, in Physical Review, vol. 118, n. 4, 1960, pp. 1100–1104, Bibcode:1960PhRv..118.1100A, DOI:10.1103/PhysRev.118.1100.

[8] R. Arnowitt, S. Deser e C. Misner, Gravitational-Electromagnetic Coupling and the Classical Self-Energy Problem, in Physical Review, vol. 120, 1960, pp. 313–320, Bibcode:1960PhRv..120..313A, DOI:10.1103/PhysRev.120.313.

[9] R. Arnowitt, S. Deser e C. Misner, Interior Schwarzschild Solutions and Interpretation of Source Terms, in Physical Review, vol. 120, 1960, pp. 321–324, Bibcode:1960PhRv..120..321A, DOI:10.1103/PhysRev.120.321.

[10] R. Arnowitt, S. Deser e C. Misner, Wave Zone in General Relativity, in Physical Review, vol. 121, n. 5, 1961, pp. 1556–1566, Bibcode:1961PhRv..121.1556A, DOI:10.1103/PhysRev.121.1556.

[11] R. Arnowitt, S. Deser e C. Misner, Coordinate Invariance and Energy Expressions in General Relativity, in Physical Review, vol. 122, n. 3, 1961, pp. 997–1006, Bibcode:1961PhRv..122..997A, DOI:10.1103/PhysRev.122.997.

[12] Gravitation: An introduction to current research Louis Witten (editor), Wiley NY (1962); capitolo 7, pp. 227–265.

[13] R. Arnowitt, S. Deser e C. Misner, Republication of: The dynamics of general relativity, in General Relativity and Gravitation, vol. 40, n. 9, 2008, pp. 1997–2027, Bibcode:2008GReGr..40.1997A, DOI:10.1007/s10714-008-0661-1, arXiv:gr-qc/0405109.

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