  For a class of arbitrary large initial data with radial symmetry or
cylindrical symmetry, we prove the existence of global solutions for the $3D$
relativistic Vlasov-Poisson system for the plasma physics case. The compact
support assumption is not imposed for both cases. The essential lower bound
assumption of the angular momentum in the previous work of Glassey-Schaeffer
(2001) is not imposed on the initial data for the cylindrical symmetry case.
