Emergent Abelian Gauge Fields from Noncommutative Gravity

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Date
2010-02-18
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Publisher
Institute of Mathematics of the National Academy of Sciences of Ukraine
Abstract

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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Keywords
noncommutative gravity, Groenewold-Moyal star, exact solutions, BLACK-HOLE, SPACES, INVARIANCE, Physics, Mathematical, Physics
Citation
Stern, A. (2010): Emergent Abelian Gauge Fields from Noncommutative Gravity. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 6(2010). DOI: https://doi.org/10.3842/SIGMA.2010.019