  We study the one-particle properties of the t-J model within the framework of
Vollhardt's dynamical mean field theory. By introducing an AB - sublattice
structure we explicitely allow for a broken symmetry for the spin degrees of
freedom and are thus able to calculate the one-particle spectral function in
the antiferromagnetic phase. We observe surprisingly rich structures in the
one-particle density of states for T<T_N at finite doping up to 15\%. These
structures can be related to the well known results for one single hole in the
N\'eel background. We are thus able to establish the relevance of this at a
first sight academic limit to physical properties of the t-J model with a
finite density of holes in the thermodynamical limit.
