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

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2014
• Main Authors: Paston, S.A., Sheykin, A.A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2014
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146847
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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 ho...