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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| Дата: | 2014 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2014
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.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| id |
irk-123456789-146847 |
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dspace |
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irk-123456789-1468472019-02-12T01:23:57Z Global Embedding of the Reissner-Nordström Metric in the Flat Ambient Space Paston, S.A. Sheykin, A.A. 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. 2014 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Paston, S.A. Sheykin, A.A. |
| spellingShingle |
Paston, S.A. Sheykin, A.A. Global Embedding of the Reissner-Nordström Metric in the Flat Ambient Space Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Paston, S.A. Sheykin, A.A. |
| author_sort |
Paston, S.A. |
| title |
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_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_sort |
global embedding of the reissner-nordström metric in the flat ambient space |
| publisher |
Інститут математики НАН України |
| publishDate |
2014 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146847 |
| 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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT pastonsa globalembeddingofthereissnernordstrommetricintheflatambientspace AT sheykinaa globalembeddingofthereissnernordstrommetricintheflatambientspace |
| first_indexed |
2023-05-20T17:25:47Z |
| last_indexed |
2023-05-20T17:25:47Z |
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1796153277365092352 |