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Einstein Equations and Hilbert Action: What is missing on page 8 of the proofs for Hilbert's First Communication on the Foundations of Physics?

Sauer, Tilman (2005) Einstein Equations and Hilbert Action: What is missing on page 8 of the proofs for Hilbert's First Communication on the Foundations of Physics? Archive for History of Exact Sciences, 59 (6). pp. 577-590. ISSN 0003-9519. doi:10.1007/s00407-005-0100-6. https://resolver.caltech.edu/CaltechAUTHORS:20200325-144810572

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Abstract

The history of the publication of the gravitational field equations of general relativity in November 1915 by Einstein and Hilbert is briefly reviewed. An analysis of the internal structure and logic of Hilbert's theory as expounded in extant proofs and in the published version of his relevant paper is given with respect to the specific question what information would have been found on a missing piece of Hilbert's proofs. The existing texts suggest that the missing piece contained the explicit form of the Riemann curvature scalar in terms of the Ricci tensor as a specification of the axiomatically underdetermined Lagrangian in Hilbert's action integral. An alternative reading that the missing piece of the proofs already may have contained the Einstein tensor, i.e. an explicit calculation of the gravitational part of Hilbert's Lagrangian is argued to be highly implausible.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1007/s00407-005-0100-6DOIArticle
https://rdcu.be/b3exaPublisherFree ReadCube access
Additional Information:© 2005 Springer-Verlag. Received 18 May 2005; Published 19 July 2005; Issue Date October 2005.
Subject Keywords:Explicit Form; Field Equation; Curvature Scalar; Gravitational Field; Einstein Equation
Issue or Number:6
DOI:10.1007/s00407-005-0100-6
Record Number:CaltechAUTHORS:20200325-144810572
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200325-144810572
Official Citation:Sauer, T. Einstein Equations and Hilbert Action: What is missing on page 8 of the proofs for Hilbert's First Communication on the Foundations of Physics?. Arch. Hist. Exact Sci. 59, 577–590 (2005). https://doi.org/10.1007/s00407-005-0100-6
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:102111
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:25 Mar 2020 22:12
Last Modified:16 Nov 2021 18:08

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