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ERIC Number: EJ963911
Record Type: Journal
Publication Date: 2011-Nov
Pages: 15
Abstractor: As Provided
ISSN: ISSN-0143-0807
Static Solutions of Einstein's Equations with Cylindrical Symmetry
Trendafilova, C. S.; Fulling, S. A.
European Journal of Physics, v32 n6 p1663-1677 Nov 2011
In analogy with the standard derivation of the Schwarzschild solution, we find all static, cylindrically symmetric solutions of the Einstein field equations for vacuum. These include not only the well-known cone solution, which is locally flat, but others in which the metric coefficients are powers of the radial coordinate and the spacetime is curved. These solutions appear in the literature, but in different forms, corresponding to different definitions of the radial coordinate. Because all the vacuum solutions are singular on the axis, we attempt to match them to "interior" solutions with nonvanishing energy density and pressure. In addition to the well-known "cosmic string" solution joining on to the cone, we find some numerical solutions that join on to the other exterior solutions. (Contains 3 tables and 5 figures.)
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A