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arxiv: 0910.3886 · v1 · pith:VTZXDLTCnew · submitted 2009-10-20 · ✦ hep-th

Stability Conditions For a Noncommutative Scalar Field Coupled to Gravity via the Positive Energy Theorem

classification ✦ hep-th
keywords noncommutativescalarstabilityconditionscoupledenergyfieldgravity
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The stability requirements for a noncommutative scalar field coupled to gravity is investigated through the positive energy theorem. It is shown that for a noncommutative scalar with a polynomial potential, the stability conditions are similar to the ones for the commutative case. This result remains valid even whether the space-time has horizons.

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