Global Embedding of the Reissner-Nordström Metric in the Flat Ambient Space
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...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2014 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2014
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/146847 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862638686535942144 |
|---|---|
| author | Paston, S.A. Sheykin, A.A. |
| author_facet | Paston, S.A. Sheykin, A.A. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-11-30T23:52:13Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146847 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-30T23:52:13Z |
| publishDate | 2014 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Paston, S.A. Sheykin, A.A. 2019-02-11T17:09:38Z 2019-02-11T17:09:38Z 2014 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 https://nasplib.isofts.kiev.ua/handle/123456789/146847 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. This work was partially supported by the Saint Petersburg State University grant 11.38.660.2013. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Global Embedding of the Reissner-Nordström Metric in the Flat Ambient Space Article published earlier |
| spellingShingle | Global Embedding of the Reissner-Nordström Metric in the Flat Ambient Space Paston, S.A. Sheykin, A.A. |
| title | Global Embedding of the Reissner-Nordström Metric in the Flat Ambient Space |
| title_full | Global Embedding of the Reissner-Nordström Metric in the Flat Ambient Space |
| title_fullStr | Global Embedding of the Reissner-Nordström Metric in the Flat Ambient Space |
| title_full_unstemmed | Global Embedding of the Reissner-Nordström Metric in the Flat Ambient Space |
| title_short | Global Embedding of the Reissner-Nordström Metric in the Flat Ambient Space |
| title_sort | global embedding of the reissner-nordström metric in the flat ambient space |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146847 |
| work_keys_str_mv | AT pastonsa globalembeddingofthereissnernordstrommetricintheflatambientspace AT sheykinaa globalembeddingofthereissnernordstrommetricintheflatambientspace |