Noncommutative Einstein-Maxwell pp-waves
Phys.Rev.D74:105004,2006 The field equations coupling a Seiberg-Witten electromagnetic field to noncommutative gravity, as described by a formal power series in the noncommutativity parameters $\theta^{\alpha\beta}$, is investigated. A large family of solutions, up to order one in $\theta^{\alpha\be...
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| Main Authors: | , |
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| Format: | Journal Article |
| Language: | English |
| Published: |
25-07-2006
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| Subjects: | |
| Online Access: | Get full text |
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| Summary: | Phys.Rev.D74:105004,2006 The field equations coupling a Seiberg-Witten electromagnetic field to
noncommutative gravity, as described by a formal power series in the
noncommutativity parameters $\theta^{\alpha\beta}$, is investigated. A large
family of solutions, up to order one in $\theta^{\alpha\beta}$, describing
Einstein-Maxwell null pp-waves is obtained. The order-one contributions can be
viewed as providing noncommutative corrections to pp-waves. In our solutions,
noncommutativity enters the spacetime metric through a conformal factor and is
responsible for dilating/contracting the separation between points in the same
null surface. The noncommutative corrections to the electromagnetic waves,
while preserving the wave null character, include constant polarization, higher
harmonic generation and inhomogeneous susceptibility. As compared to pure
noncommutative gravity, the novelty is that nonzero corrections to the metric
already occur at order one in $\theta^{\alpha\beta}$. |
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| DOI: | 10.48550/arxiv.hep-th/0607201 |