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arxiv: 0812.4607 · v2 · pith:3VCJJZZKnew · submitted 2008-12-25 · ✦ hep-th

Stability Conditions For a Noncommutative Scalar Field Coupled to Gravity

classification ✦ hep-th
keywords noncommutativeconditionsfieldscalarspace-timestabilitybackgroundconsider
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We consider a noncommutative scalar field with a covariantly constant noncommutative parameter in a curved space-time background. For a potential as a noncommutative polynomial it is shown that the stability conditions are unaffected by the noncommutativity, a result that is valid irrespective whether space-time has horizons or not.

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