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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Siberian Mathematica...arrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
Siberian Mathematical Journal
Article . 1985 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article . 1984
Data sources: zbMATH Open
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Completeness of the Schwarzschild solution

Authors: Pimenov, R. I.;

Completeness of the Schwarzschild solution

Abstract

The Schwarzschild solution (internal as well as external) is considered and the universal covering of it is constructed. This implies the following: If a spacetime contains both internal and external domains and each radial geodesic is extendible through the Schwarzschild radius then either there exists a cycle (a closed timelike curve) or the exterior domain exists in many isometrical but distinct duplicates. The first violates the causality condition, and the second violates the uniqueness of the world. [In the English translation on page 780, line 14 above there must be read ''exterior'' instead of the printed ''interior''.]

Keywords

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics, Schwarzschild solution, universal covering, Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory, closed timelike curve, Applications of global differential geometry to the sciences, causality condition

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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