Emergent Abelian Gauge Fields from Noncommutative Gravity
We construct exact solutions to noncommutative gravity following the formulation of Chamseddine and show that they are in general accompanied by Abelian gauge fields which are first order in the noncommutative scale. This provides a mechanism for generating cosmological electromagnetic fields in an...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2010 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2010
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146347 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Emergent Abelian Gauge Fields from Noncommutative Gravity / A. Stern // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 32 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862710107614216192 |
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| author | Stern, A. |
| author_facet | Stern, A. |
| citation_txt | Emergent Abelian Gauge Fields from Noncommutative Gravity / A. Stern // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 32 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We construct exact solutions to noncommutative gravity following the formulation of Chamseddine and show that they are in general accompanied by Abelian gauge fields which are first order in the noncommutative scale. This provides a mechanism for generating cosmological electromagnetic fields in an expanding space-time background, and also leads to multipole-like fields surrounding black holes. Exact solutions to noncommutative Einstein-Maxwell theory can give rise to first order corrections to the metric tensor, as well as to the electromagnetic fields. This leads to first order shifts in the horizons of charged black holes.
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| first_indexed | 2025-12-07T17:22:34Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146347 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T17:22:34Z |
| publishDate | 2010 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Stern, A. 2019-02-09T09:13:15Z 2019-02-09T09:13:15Z 2010 Emergent Abelian Gauge Fields from Noncommutative Gravity / A. Stern // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 32 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 83D05; 53D55; 81T75 DOI:10.3842/SIGMA.2010.019 https://nasplib.isofts.kiev.ua/handle/123456789/146347 We construct exact solutions to noncommutative gravity following the formulation of Chamseddine and show that they are in general accompanied by Abelian gauge fields which are first order in the noncommutative scale. This provides a mechanism for generating cosmological electromagnetic fields in an expanding space-time background, and also leads to multipole-like fields surrounding black holes. Exact solutions to noncommutative Einstein-Maxwell theory can give rise to first order corrections to the metric tensor, as well as to the electromagnetic fields. This leads to first order shifts in the horizons of charged black holes. This paper is a contribution to the Special Issue “Noncommutative Spaces and Fields”. The full collection is available at http://www.emis.de/journals/SIGMA/noncommutative.html.
 I am very grateful to P. Aschieri, S. Fabi, B. Harms and N. Okada for valuable discussions. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Emergent Abelian Gauge Fields from Noncommutative Gravity Article published earlier |
| spellingShingle | Emergent Abelian Gauge Fields from Noncommutative Gravity Stern, A. |
| title | Emergent Abelian Gauge Fields from Noncommutative Gravity |
| title_full | Emergent Abelian Gauge Fields from Noncommutative Gravity |
| title_fullStr | Emergent Abelian Gauge Fields from Noncommutative Gravity |
| title_full_unstemmed | Emergent Abelian Gauge Fields from Noncommutative Gravity |
| title_short | Emergent Abelian Gauge Fields from Noncommutative Gravity |
| title_sort | emergent abelian gauge fields from noncommutative gravity |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146347 |
| work_keys_str_mv | AT sterna emergentabeliangaugefieldsfromnoncommutativegravity |