Republication of: Einsteinian ds2 in Newtonian fields. IX: The analog of the logarithmic potential

This is an English translation of the second of two papers by Tullio Levi-Civita, first published in 1917 and 1919. The papers are remarkable as being among the earliest in which exact solutions of Einstein’s equations were derived. Of the two solutions presented, the first (republished as an accomp...

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Bibliographic Details
Published inGeneral relativity and gravitation Vol. 43; no. 8; pp. 2321 - 2330
Main Author Levi-Civita, T.
Format Journal Article
LanguageEnglish
Published Boston Springer US 2011
Subjects
Astronomy
Astrophysics and Cosmology
Classical and Quantum Gravitation
Differential Geometry
Golden Oldie
Mathematical and Computational Physics
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
Theoretical
Geodesic Distance
Principal Curvature
Geodesic Curvature
Constant Curvature
Coaxial Cylinder
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Summary:This is an English translation of the second of two papers by Tullio Levi-Civita, first published in 1917 and 1919. The papers are remarkable as being among the earliest in which exact solutions of Einstein’s equations were derived. Of the two solutions presented, the first (republished as an accompanying Golden Oldie) is better known today as the Bertotti-Robinson solution, and the second one (republished as this Golden Oldie) is the gravitational field of an infinite cylinder. The papers have been selected by the Editors of General Relativity and Gravitation for republication in the Golden Oldies series of the journal. This republication is accompanied by an editorial note written by Malcolm MacCallum, and by a brief biography of the author, compiled from internet sources by Andrzej Krasiński.
ISSN:0001-7701
1572-9532
DOI:10.1007/s10714-011-1189-3