The Einstein-Vlasov-Maxwell(EVM) System with Spherical Symmetry
  We look for the global in time solution of the Cauchy problem corresponding to the asymptotically flat spherically symmetric EVM system with small initial data. Using an estimate, we also prove that if solution of the system stated above develops a singularity at all time, then the first one has to appear at the center of symmetry. 
P. Noundjeu