Noncommutative Particles in Curved Spaces

Abstract

We present a formulation in a curved background of noncommutative mechanics, where the object of noncommutativity ${\theta }^{\mu \nu }$ is considered as an independent quantity having a canonical conjugate momentum. We introduced a noncommutative first-order action in D=10 curved spacetime and the covariant equations of motions were computed. This model, invariant under diffeomorphism, generalizes recent relativistic results.

1+15 pages. Latex. New comments and results added

References in corpus (7)

• Quantum Mechanics on Noncommutative Spacetime
• The Energy-momentum of a Poisson structure
• Tensor Operators in Noncommutative Quantum Mechanics
• Noncommutivity and Scalar Field Cosmology
• Dynamical symmetries in noncommutative theories
• Fermions and noncommutative theories
• Tensor Coordinates in Noncommutative Mechanics