Abstract
This is the English translation of the third 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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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 the Golden Oldies and online via doi:10.1007/s10714-011-1309-0. The companion papers to this one can be found in this issue preceding this Golden Oldie and online via doi:10.1007/s10714-011-1310-7 (Weyl 1917) and doi:10.1007/s10714-011-1311-6 (Weyl 1919).
Original paper: Bach, R. Neue Lösungen der Einsteinschen Gravitationsgleichungen. B. Explicite Aufstellung statischer axialsymmetrischer Felder. Mit einem Zusatz über das statische Zweikörperproblem von H. Weyl, Mathematische Zeitschrift 13, 134–145 (1922). Reprinted with the kind permission of the Springer Verlag, the current copyright owner. Translated by Gernot Neugebauer and David Petroff, D.Petroff@tpi.uni-jena.de.
Rudolf Bach was a pseudonym. His actual name was Rudolf Förster.
R. Bach Deceased on 1941
H. Weyl Deceased on December 8, 1955
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Bach, R., Weyl, H. Republication of: New solutions to Einstein’s equations of gravitation. B. Explicit determination of static, axially symmetric fields. By Rudolf Bach. With a supplement on the static two-body problem. By H. Weyl.. Gen Relativ Gravit 44, 817–832 (2012). https://doi.org/10.1007/s10714-011-1312-5
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DOI: https://doi.org/10.1007/s10714-011-1312-5