The paper considers the spectrum of axial perturbations of slowly uniformly
rotating general relativistic stars in the framework of Y. Kojima. In a first
step towards a full analysis only the evolution equations are treated but not
the constraint. Then it is found that the system is unstable due to a continuum
of non real eigenvalues. In addition the resolvent of the associated generator
of time evolution is found to have a special structure which was discussed in a
previous paper. From this structure it follows the occurrence of a continuous
part in the spectrum of oscillations at least if the system is restricted to a
finite space as is done in most numerical investigations. Finally, it can be
seen that higher order corrections in the rotation frequency can qualitatively
influence the spectrum of the oscillations. As a consequence different
descriptions of the star which are equivalent to first order could lead to
different results with respect to the stability of the star
