Twisted acceleration-enlarged Newton-Hooke space-times and conservative   force terms
  There are analyzed two classical systems defined on twist-deformed acceleration-enlarged Newton-Hooke space-times - nonrelativistic particle moving in constant field force $\vec{F}$ and harmonic oscillator model. It is demonstrated that only in the case of canonical twist deformation the force terms generated by space-time noncommutativity remain conservative for both models. 
Marcin Daszkiewicz
math-ph gr-qc math.MP