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From the history of physics


On the discovery of the gravitational field equations by Einstein and Hilbert: new materials


S.I. Vavilov Institute of History of Natural Sciences and Technology, Russian Academy of Sciences, ul. Obrucheva 30A, korp. B, Moscow, 117861, Russian Federation

This article describes the history of discovery of the equations of gravitational field by Albert Einstein and David Hilbert in November 1915. The proof sheet of Hilbert’s lecture report, made on 20 November 1915 and published in March 1916, rediscovered in 1997 in the archive of the university of Göttingen, throws new light on the history of this discovery. We also discuss the early history of the general theory of relativity that led to the expression of the general covariant equations of gravitational field.

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Fulltext is also available at DOI: 10.1070/PU2001v044n12ABEH001014
PACS: 01.65.+g, 04.20.−q (all)
DOI: 10.1070/PU2001v044n12ABEH001014
URL: https://ufn.ru/en/articles/2001/12/d/
000174927700004
Citation: Vizgin V P "On the discovery of the gravitational field equations by Einstein and Hilbert: new materials" Phys. Usp. 44 1283–1298 (2001)
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Оригинал: Визгин В П «Об открытии уравнений гравитационного поля Эйнштейном и Гильбертом (новые материалы)» УФН 171 1347–1363 (2001); DOI: 10.3367/UFNr.0171.200112d.1347

References (56) ↓ Cited by (15) Similar articles (20)

  1. Hertz H Untersuchungen über Die Ausbreitung Der Elektrischen Kraft (Leipzig: J.A. Barth, 1892)
  2. Mandel’shtam L I "Lektsii po osnovam kvantovoi mekhaniki (teoriya kosvennykh izmerenii, 1939)" Lektsii Po Optike, Teorii Otnositel’nosti i Kvantovoi Mekhanike (M.: Nauka, 1972) p. 325-388
  3. Feinman R Kharakter Fizicheskikh Zakonov (M.: Mir, 1968)
  4. Kobzarev I Yu, Manin Yu I Elementarnye Chastitsy. Dialogi Fizika i Matematika (M.: Fazis, 1997)
  5. Logunov A A Teoriya Gravitatsionnogo Polya (M.: Nauka, 2000)
  6. Pauli V Teoriya Otnositel’nosti (M.-L.: GITTL, 1947)
  7. Vizgin V P Relyativistskaya Teoriya Tyagoteniya (istoki i Formirovanie. 1900 - 1915 Gg.) (M.: Nauka, 1981)
  8. Guth E "Contribution to the history of Einstein’s geometry as a branch of physics" Relativity: Proc. Relativity Conf., Midwest, Cincinnati, 1969 (Eds M Carmeli, S I Fickler, L Witten) (New York: Plenum Press, 1970) p. 161
  9. Vizgin V P Razvitie Vzaimosvyazi Printsipov Invariantnosti s Zakonami Sokhraneniya v Klassicheskoi Fizike (M.: Nauka, 1972)
  10. Pyenson L R "The Goettingen reception of Einstein’s general theory of relativity" Ph.D. Dissertation (Baltimore, Maryland: The Johns Hopkins University, 1974)
  11. Mehra J Einstein, Hilbert, And The Theory Of Gravitation. Historical Origins Of General Relativity (Dordrecht: D. Reidel Publ. Co., 1974)
  12. Earman J, Glymour C "Einstein and Hilbert: Two months in the history of general relativity" Arch. Hist. Exact Sci. 19 291 (1978)
  13. Pais A " "Subtle Is The Lord...". The Science And The Life Of Albert Einstein (Oxford: Oxford Univ. Press, 1982); Russk. per., Pais A Nauchnaya Deyatel’nost’ i Zhizn’ Al’berta Einshteina (M.: Nauka, 1989)
  14. Hilbert D "Die Grundlagen der Physik" Staats-und Universitätsbibliothek Goettingen (Handschriftenabteilung), Cod. Ms. D. Hilbert 634, (Erste Mitteilung; Erste Korrektur. 6 Dez. 1915, Göttingen)
  15. Corry L, Renn J, Stachel J "Belated decision in Hilbert - Einstein priority dispute" Science 278 1270 (1997)
  16. Corry L "David Hilbert and the axiomatization of physics (1894 - 1905)" Arch. Hist. Exact Sci. 51 83 (1997)
  17. Corry L "Hilbert on kinetic theory and radiation theory (1912 - 1914)" Math. Intell. 20 (3) 52 (1998)
  18. Vizgin V P "Kommentarii i primechaniya k "Osnovaniyam fiziki" (Pervoe i vtoroe soobshcheniya)" Gil’bert D. Izbrannye Trudy Vol. 2 (Pod red. A N Parshina) (M.: Faktorial, 1998) p. 563
  19. Corry L "From Mie’s electromagnetic theory of matter to Hilbert’s unified foundations of physics" Stud. Hist. Philos. Mod. Phys. B 30 (2) 159 (1999)
  20. Corry L "David Hilbert between mechanical and electromagnetic reductionism (1910 - 1915)" Arch. Hist. Exact Sci. 53 489 (1999)
  21. Sauer T "The relativity of discovery: Hilbert’s first note on the foundations of physics" Arch. Hist. Exact Sci. 53 529 (1999)
  22. Renn J, Stachel J "Hilbert’s foundation of physics: Froma theory of everything to a constituent of general relativity" Preprint Max-Planck-Inst. für Wissenschaftsgeschichte No. 118 (Berlin: Max-Planck-Inst. für Wissenschaftsgeschichte, 1999), 113 pp.
  23. Renn J, Sauer T "Heuristics and mathematical representation in Einstein’s search for a gravitational equation" The Expanding Worlds Of General Relativity (Einstein Studies, Vol. 7, Eds H Goenner, J Renn, J Ritter, T Sauer) (Boston: Birkhäuser, 1999) p. 87-125
  24. Stachel J "New light on the Einstein-Hilbert priority question" J. Astrophys. Astron. 20 91 (1999)
  25. Vizgin V P Edinye Teorii Polya v Pervoi Treti XX Veka (M.: Nauka, 1985)
  26. Vizgin V P Unified Field Theories In The First Third Of The 20th Century (Basel: Birkhäuser, 1994), XIX, 335 pp.
  27. Corry L "Hilbert and Physics (1900 - 1915)" Preprint Max-Planck-Inst. für Wissenschaftsgeschichte No. 43 (Berlin: Max-Planck-Inst. für Wissenschaftsgeschichte, 1996)
  28. Norton J "What was Einstein principle of equivalence?" Einstein and the History of General Relativity: The Proc. of the 1986 Osgood Hill Conf., North Andover, Mass., May 1986 (Einstein Studies, Vol. 1, Eds D Howard, J Stachel) (Boston: Birkhäuser, 1989) p. 5
  29. Stachel J "Einstein’s search for general covariance, 1912 - 1915" Einstein and the History of General Relativity: The Proc. of the 1986 Osgood Hill Conf., North Andover, Mass., May 1986 (Einstein Studies, Vol. 1, Eds D Howard, J Stachel) (Boston: Birkhäuser, 1989) p. 63
  30. Norton J "How Einstein Found His Field Equations, 1912 - 1915" Einstein and the History of General Relativity: The Proc. of the 1986 Osgood Hill Conf., North Andover, Mass., May 1986 (Einstein Studies, Vol. 1, Eds D Howard, J Stachel) (Boston: Birkhäuser, 1989) p. 101
  31. Vizgin V P "Genezis tenzorno-geometricheskoi kontseptsii gravitatsii (1912 - 1913)" Istoriko-matematicheskie Issledovaniya Vyp. XXVI (M.: Nauka, 1982) p. 235
  32. Vizgin V P "Rol’ idei E. Makha v genezise obshchei teorii otnositel’nosti" Einshteinovskii Sbornik 1986 - 1990 (M.: Nauka, 1990) p. 49
  33. Norton Dzh "Bor’ba Einshteina za obshchuyu kovariantnost’" Einshteinovskii Sbornik 1982 - 1983 (M.: Nauka, 1986) p. 57
  34. Renn J, Sauer T "Einsteins Züricher Notizbuch. Die Entdeckung der Feldgleichungen der Gravitation im Jahre 1912" Preprint Max-Planck-Inst. für Wissenschaftsgeschichte No. 28 (Berlin: Max-Planck-Inst. für Wissenschaftsgeschichte, 1995)
  35. Einstein A The Collected Papers Of Albert Einstein Vol. 4 The Swiss Years: Writings, 1912 - 1914 (Eds M J Klein et al.) (Princeton, N.J.: Princeton Univ. Press, 1995)
  36. Einstein A The Collected Papers Of Albert Einstein Vol. 5 The Swiss Years: Correspondence, 1902 - 1914 (Eds M J Klein et al.) (Princeton, N.J.: Princeton Univ. Press, 1993)
  37. Einstein A The Collected Papers Of Albert Einstein Vol. 6. The Berlin Years: Writings, 1914 - 1917 (Eds A J Kox et al.) (Princeton, N.J.: Princeton Univ. Press, 1996)
  38. Einstein A The Collected Papers Of Albert Einstein Vol. 8 The Berlin Years: Correspondence, 1914 - 1918 (Eds R Schulmann et al.) (Princeton, N.J.: Princeton Univ. Press, 1998)
  39. Einshtein A Sobranie Nauchnykh Trudov Vol. 1 (Pod red. I E Tamma i dr.) (M.: Nauka, 1965)
  40. "Iz perepiski Zommerfel’da s Einshteinom" Zommerfel’d A. Puti Poznaniya v Fizike (M.: Nauka, 1973) p. 191
  41. "Perepiska A. Einshteina s M. Besso, 1903 - 1955" Einshteinovskii Sbornik. 1974 (M.: Nauka, 1976) p. 5
  42. Gil’bert D "Osnovaniya fiziki (Pervoe soobshchenie)" Variatsionnye Printsipy Mekhaniki (Pod red. L S Polaka) (M.: GIFML, 1959) p. 589, (Per. D V Zharkova)
  43. Gil’bert D "Osnovaniya fiziki (Pervoe soobshchenie)" A. Einshtein i Teoriya Gravitatsii (M.: Mir, 1979) p. 133
  44. Gil’bert D "Osnovaniya fiziki (Pervoe soobshchenie)" Izbrannye Trudy Vol. 2 (M.: Faktorial, 1998) p. 367, (Per. D V Zharkova)
  45. Veil’ G "David Gil’bert i ego matematicheskie trudy" Gil’bert D. Izbrannye Trudy T. 2 (Prilozhenie) (M.: Faktorial, 1998) p. 480
  46. Gil’bert D "Matematicheskie problemy (1901)" Izbrannye Trudy Vol. 2 (M.: Faktorial, 1998) p. 401
  47. Born M "Der Impuls-Energie-Satz in der Elektrodynamik von Gustav Mie" Göttingen Nachr. 23 (1914)
  48. Einshtein A "K sovremennomu sostoyaniyu problemy izlucheniya" Sobranie Nauchnykh Trudov Vol. 3 (M.: Nauka, 1966) p. 164
  49. Veil’ G Prostranstvo, Vremya, Materiya (M.: Yanus, 1996)
  50. Einshtein A "Osnovy obshchei teorii otnositel’nosti" Sobranie Nauchnykh Trudov Vol. 1 (M.: Nauka, 1966) p. 452
  51. Neter E "Invariantnye variatsionnye zadachi" Variatsionnye Printsipy Mekhaniki (Pod red. L S Polaka) (M.: Fizmatgiz, 1959) p. 611
  52. Mizner Ch, Torn K, Uiler Dzh Gravitatsiya Vol. 2 (M.: Mir, 1977)
  53. Gil’bert D "Osnovaniya fiziki (Vtoroe soobshchenie)" Izbrannye Trudy Vol. 2 (M.: Faktorial, 1998) p. 379, (Per. D V Zharkova)
  54. Hilbert D "Die Grundlagen der Physik" Math. Ann. 92 1 (1924)
  55. Logunov A A "Predislovie nauchnogo redaktora perevoda" Pais A. Nauchnaya Deyatel’nost’ i Zhizn’ Al’berta Einshteina (M.: Nauka, 1989) p. 5
  56. Frederiks V K "Obshchii printsip otnositel’nosti Einshteina" Usp. Fiz. Nauk 2 (2) 162 (1921); vosproizvedeno, Frederiks V K Usp. Fiz. Nauk 169 1339 (1999)

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