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Global Embedding of the Reissner-Nordström Metric in the Flat Ambient Space

Vernadsky National Library of Ukraine

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Title Global Embedding of the Reissner-Nordström Metric in the Flat Ambient Space
 
Creator Paston, S.A.
Sheykin, A.A.
 
Description We study isometric embeddings of non-extremal Reissner-Nordström metric describing a charged black hole. We obtain three new embeddings in the flat ambient space with minimal possible dimension. These embeddings are global, i.e. corresponding surfaces are smooth at all values of radius, including horizons. Each of the given embeddings covers one instance of the regions outside the horizon, one instance between the horizons and one instance inside the internal horizon. The lines of time for these embeddings turn out to be more complicated than circles or hyperbolas.
 
Date 2019-02-11T17:09:38Z
2019-02-11T17:09:38Z
2014
 
Type Article
 
Identifier Global Embedding of the Reissner-Nordström Metric in the Flat Ambient Space / S.A. Paston, A.A. Sheykin // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 35 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 83C57; 83E15; 83C20
DOI:10.3842/SIGMA.2014.003
http://dspace.nbuv.gov.ua/handle/123456789/146847
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України