Cosmological Implications of a Lorentz Invariance Violating O(2) Model
  We derive the free energy of a Lorentz invariance violating (LIV) O(2) model, for which a non-vanishing commutator among it's momenta is supposed. Then we investigate the possible implications of such a matter field on the time evolution of a flat FRW universe at low and high temperatures. 
A. Jahan
hep-th