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EINSTEIN Albert (1879-1955)
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EINSTEIN Albert (1879-1955)
Autograph manuscript, Feldgleichungen| 1 page in-4 mounted on card (split repaired with tape).
Precious manuscript of field equations relating to unified field theory and teleparallelism. Einstein presents here the complete scheme of a paper written in collaboration with Walther MAYER, entitled Systematische Untersuchungen über kompatible Feldgleichungen, welche in einem Riemannschen Raume mit Fernparallelismus gesetzt werden können (Systematic investigations of possible compatible field equations in a Riemannian space with distant parallelism), presented to the Prussian Academy of Sciences at its session of April 23, 1931 and published in its Sitzungsberichte. This paper is Einstein's last contribution to his theory of distant parallelism or tele-parallelism, which he had been pursuing since 1928. The theory is characterized by spaces with evanescent curvature but non-evanescent torsion, and Einstein had proposed various field equations, first on the basis of a variational principle and then heuristically using identities for the field equations. The final investigation, undertaken in collaboration with Mayer, was an attempt to find and classify all field equations compatible with an identity of divergent type. The problem leads to a set of 20 algebraic equations for 10 coefficients, and the solution of these equations, given by Einstein and Mayer, allowed them to characterize the possible field equations into four groups (here clearly labeled I-IV), two of which were generalizations of the classical field equations. This handwritten page presents the successive steps of this paper from its beginning (Ansatz) to its final conclusion. Albert Einstein and Walther Mayer, "Systematische Untersuchungen über kompatible Feldgleichungen, welche in einem Riemannschen Raume mit Fernparallelismus gesetzt werden können" in Königlich Preussische Akademie der Wissenschaften (Berlin) Sitzungsberichte (1931, pp. 257-265).
PROVENANCE
Harvey B. Plotnick Collection (The Harvey Plotnick Library of Quantum Physics, sale New York October 4, 2002, no. 97)
Autograph manuscript, Feldgleichungen| 1 page in-4 mounted on card (split repaired with tape).
Precious manuscript of field equations relating to unified field theory and teleparallelism. Einstein presents here the complete scheme of a paper written in collaboration with Walther MAYER, entitled Systematische Untersuchungen über kompatible Feldgleichungen, welche in einem Riemannschen Raume mit Fernparallelismus gesetzt werden können (Systematic investigations of possible compatible field equations in a Riemannian space with distant parallelism), presented to the Prussian Academy of Sciences at its session of April 23, 1931 and published in its Sitzungsberichte. This paper is Einstein's last contribution to his theory of distant parallelism or tele-parallelism, which he had been pursuing since 1928. The theory is characterized by spaces with evanescent curvature but non-evanescent torsion, and Einstein had proposed various field equations, first on the basis of a variational principle and then heuristically using identities for the field equations. The final investigation, undertaken in collaboration with Mayer, was an attempt to find and classify all field equations compatible with an identity of divergent type. The problem leads to a set of 20 algebraic equations for 10 coefficients, and the solution of these equations, given by Einstein and Mayer, allowed them to characterize the possible field equations into four groups (here clearly labeled I-IV), two of which were generalizations of the classical field equations. This handwritten page presents the successive steps of this paper from its beginning (Ansatz) to its final conclusion. Albert Einstein and Walther Mayer, "Systematische Untersuchungen über kompatible Feldgleichungen, welche in einem Riemannschen Raume mit Fernparallelismus gesetzt werden können" in Königlich Preussische Akademie der Wissenschaften (Berlin) Sitzungsberichte (1931, pp. 257-265).
PROVENANCE
Harvey B. Plotnick Collection (The Harvey Plotnick Library of Quantum Physics, sale New York October 4, 2002, no. 97)