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

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Cited by in corpus (11)

• Lagrangian formulation for Mathisson-Papapetrou-Tulczyjew-Dixon (MPTD) equations
• Frenkel electron and a spinning body in a curved background
• Relativistic effects due to gravimagnetic moment of a rotating body
• Gravitational radiation in dynamical noncommutative spaces
• Noncommutative supersymmetric Chern-Simons-matter model
• Maximal acceleration in a Lorentz invariant non-commutative space-time
• Non-Grassmann mechanical model of the Dirac equation
• Noncommutative Quantum Mechanics on a Curved Space
• Non-commutative correction of ideal gas thermodynamics
• N=2 supersymmetric radiation damping problem on a noncommutative plane
• Alternative Approach to Noncommutative Quantum Mechanics on a Curved Space