Variational formulation of general relativity from 1915 to 1925 “Palatini's method” discovered by Einstein in 1925

Mar 1, 1982
12 pages
Published in:
  • Gen.Rel.Grav. 14 (1982) 3, 243-254
  • Published: Mar 1, 1982

Citations per year

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Abstract: (Springer)
Among the three basic variational approaches to general relativity, the metric-affine variational principle, according to which the metric and the affine connection are varied independently, is commonly known as the “Palatini method.” In this paper we revisit the history of the “golden age” of general relativity, through a discussion of the papers involving a variational formulation of the field problem. In particular we find that the original Palatini paper of 1919 was rather far from what is usually meant by “Palatini's method,” which was instead formulated, to our knowledge, by Einstein in 1925.
  • General Relativity
  • Variational Principle
  • Differential Geometry
  • Variational Formulation
  • Variational Approach
  • Gravitation. Freeman & Co., San Francisco
    • C.W. Misner
      ,
    • K.S. Thorne
      ,
    • J.A. Wheeler
  • Space-Time Structure, 2nd ed. Cambridge University Press, Cambridge, England
    • E. Schrödinger
  • Lectures on General Relativity. MacMillan, London
    • J.V. Narlikar
  • Wetensch. Amsterdam,23, 1073
    • H.A. Lorentz
    • (1915).Proc. Acad. Amsterdam,19, 751 (reprinted in
      • H.A. Lorentz
    • Einstein, Hilbert and the Theory of Gravitation. D
      • J. Mehra
    • Zur allgemeinen Relativitätstheorie
      • A. Einstein
        • Sitzungsber.Preuss.Akad.Wiss.Berlin (Math.Phys.) 2 (1915) 778
    • Die Feldgleichungen der Gravitation
      • A. Einstein
        • Sitzungsber.Preuss.Akad.Wiss.Berlin (Math.Phys.) 2 (1915) 844
    • "Die Grundlagen der Physik,Nachr. Ges. Wiss. Göttingen, Math. Phys. Kl., 395 (presented to the Göttingen Academy on November 20,)
      • D. Hubert
        • Annalen Phys. 49 (1916) 7, 769-822,
        • Annalen Phys. 14 (2005) 517-571,
        • ,
        • Annalen Phys. 354 (1916) 7, 769-822
    • Wetench. Amsterdam,24, 1389,24, 1759,25, 268,25, 1380
      • H.A. Lorentz
      • Proc. Acad. Amsterdam,19, 1341; .19, 1354; .20, 2; .20, 20 (reprinted in
        • H.A. Lorentz
      • Proc. Acad. Amsterdam,19, 1341; .19, 1354; .20, 2; .20, 20 (reprinted in
        • H.A. Lorentz
        • The Principle of Relativity (English translation of a collection of original papers on the special and general theory of relativity)
          • W. Perret
            ,
          • G.B. Jeffery
        • Hamiltonsches Prinzip und allgemeine Relativitätstheorie,Sitzungs-ber. Preuss. Akad. Wiss.,2, 1111
          • A. Einstein
        • Zu Huberts erster Note über die Grundlagen der Physik,Nachr. Ges. Wiss. Göttingen, Math. Phys. Kl., 469
          • F. Klein
        • Über die Differentialgesetze für die Erhaltung von Impuls und Energie in der Einsteinschen Gravitationstheorie,Nachr. Ges. Wiss. Göttingen, Math. Phys. Kl, 171
          • F. Klein
        • Über die Integralform der Erhaltungssätze und die Theorie der Räumlichgeschlossenen Welt,Nachr. Ges. Wiss. Göttingen, Math. Phys. Kl., 394
          • F. Klein
          • Vectorielle Begründung der Differentialgeometrie
            • G. Hessenberg
              • Math.Ann. 78 (1917) 187
          • Raum-Zeit-Materie
            • H. Weyl
            • Reine Infinitesimalgeometrie,Math. Z., 2
              • H. Weyl
            • Raum-Zeit-Materie, 3rd ed
              • H. Weyl