Stability Conditions For a Noncommutative Scalar Field Coupled to Gravity

Abstract

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.

12 pages. Version to match the one to appear in Physics Letters B

References in corpus (5)

• Weyl-Wigner Formulation of Noncommutative Quantum Mechanics
• Noncommutative Gravity
• Berry Phase in the Gravitational Quantum Well and the Seiberg-Witten map
• Quantum Fields with Noncommutative Target Spaces
• Noncommutative fields in curved space

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• The singularity problem and phase-space noncanonical noncommutativity
• Noncommutative Quantum Mechanics and Quantum Cosmology
• Can noncommutative effects account for the present speed up of the cosmic expansion?
• Three-dimensional Lorentz-violating action
• Stability Conditions for the Horndeski Scalar Field Gravity Model
• Uncertainty relations for a non-canonical phase-space noncommutative algebra
• A general relativity formulation for the Doplicher-Fredenhagen-Roberts noncommutative space-time
• Noncommutative effects in astrophysical objects: a survey