Static axisymmetric rings in general relativity: How diverse they are

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F16%3A10335520" target="_blank" >RIV/00216208:11320/16:10335520 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1103/PhysRevD.94.104021" target="_blank" >http://dx.doi.org/10.1103/PhysRevD.94.104021</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevD.94.104021" target="_blank" >10.1103/PhysRevD.94.104021</a>

Result language
angličtina
Original language name
Static axisymmetric rings in general relativity: How diverse they are
Original language description
Three static and axially symmetric (Weyl-type) ring singularities-the Majumdar-Papapetrou-type (extremally charged) ring, the Bach-Weyl ring, and the Appell ring-are studied in general relativity in order to show how remarkably the geometries in their vicinity differ from each other. This is demonstrated on basic measures of the rings and on invariant characteristics given by the metric and by its first and second derivatives (lapse, gravitational acceleration, and curvature), and also on geodesic motion. The results are also compared against the Kerr space-time which possesses a ring singularity too. The Kerr solution is only stationary, not static, but in spite of the consequent complication by dragging, its ring appears to be simpler than the static rings. We show that this mainly applies to the Bach-Weyl ring, although this straightforward counterpart of the Newtonian homogeneous circular ring is by default being taken as the simplest ring solution, and although the other two static ring sources may seem more "artificial." The weird, directional deformation around the Bach-Weyl ring probably indicates that a more adequate coordinate representation and interpretation of this source should exist.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
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Project
<a href="/en/project/GA14-10625S" target="_blank" >GA14-10625S: General relativistic fields of compact astrophysical sources</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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