Evolution of relativistic polytropes in the post-quasi-static regime. (Herrera, L.; Barreto Acevedo, Willians.) Abstract A recently presented method for the study of evolving self-gravitating relativistic spheres is applied to the description of the evolution of rela- tivistic polytropes. Two different definitions of relativistic polytrope, yielding the same Newtonian limit, are considered. Some examples are explicitly worked out, describing collapsing polytropes and bring- ing out the differences between both types of polytropes.laherrera@telcel.net.vewbarreto@ula.veNivel monográfico