KANTOWSKI-SACHS MINISUPERSPACE COSMOLOGICAL MODEL ON NONCOMMUTATIVE SPACE

Abstract

A vacuum homogeneous and anisotropic Kantowski-Sachs minisuperspace cosmological model is considered. In a classical case, Lagrangian of the model is reduced by a suitable coordinate transformation to Lagrangian of two decoupled oscillators with the same frequencies and with zero energy in total (an oscillator-ghostoscillator system). The model is formulated also on noncommutative space.