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Republication of: 3. On the theory of gravitation

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Abstract

This is the English translation of the first of a series of 3 papers by Hermann Weyl (the third one jointly with Rudolf Bach), first published in 1917–1922, in which the authors derived and discussed the now-famous Weyl two-body static axially symmetric vacuum solution of Einstein’s equations. The English translations of the other two papers are published alongside this one. The papers have been selected by the Editors of General Relativity and Gravitation for re-publication in the Golden Oldies series of the journal. This republication is accompanied by an editorial note written by Gernot Neugebauer, David Petroff and Bahram Mashhoon, and by a brief biography of R. Bach, written by H. Goenner.

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Correspondence to Hermann Weyl.

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Editorial responsibility: A. Krasiński, e-mail: akr@camk.edu.pl.

An editorial note to this paper and a biography can be found in this issue preceding this Golden Oldie and online via doi:10.1007/s10714-011-1309-0. The companion papers to this one can be found in this issue after this Golden Oldie and online via doi:10.1007/s10714-011-1311-6 (Weyl 1919) and doi:10.1007/s10714-011-1312-5 (Weyl and Bach 1922).

Original paper: Weyl, H.: 3. Zur Gravitationstheorie, Annalen der Physik 54, 117–145 (1917). doi:10.1002/andp.19173591804, Copyright (c) 1917 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim. Translation published with permission. Translated by Gernot Neugebauer and David Petroff, D.Petroff@tpi.uni-jena.de.

H. Weyl (Deceased December 8, 1955)

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Weyl, H. Republication of: 3. On the theory of gravitation. Gen Relativ Gravit 44, 779–810 (2012). https://doi.org/10.1007/s10714-011-1310-7

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