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Emergent Abelian Gauge Fields from Noncommutative Gravity
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- Фізико-технічні та математичні науки
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- Відділення математики
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6
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- Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6, випуск за цей рік
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Emergent Abelian Gauge Fields from Noncommutative Gravity
Інший ID:
2010 Mathematics Subject Classification: 83D05; 53D55; 81T75
DOI:10.3842/SIGMA.2010.019
DOI:10.3842/SIGMA.2010.019
Посилання:
Emergent Abelian Gauge Fields from Noncommutative Gravity / A. Stern // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 32 назв. — англ.
Підтримка:
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.
Дата:
2010
Переглядів:
528
Завантажень:
236
Анотація:
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.
