Induced fermionic vacuum polarization in a de Sitter spacetime with a compactified cosmic string

We study the fermionic condensate (FC) and the vacuum expectation value (VEV) of the energymomentum tensor for a massive spinor field in the de Sitter (dS) spacetime including an ideal cosmic string. In addition, spatial dimension along the string is compactified to a circle of length L. The fermionic field is assumed to obey quasiperiodic condition along the z-axis. There are also magnetic fluxes running along the cosmic string and enclosed by the compact dimension. Both, the FC and the VEVof the energy-momentum tensor, are decomposed into two parts: one induced by the cosmic string in dS spacetime considering the absence of the compactification, and another one induced by the compactification. In particular, we show that the FC vanishes for a massless fermionic field.