The gravitino problem in extended gravity cosmologies

Abstract The gravitino problem is investigated in the framework of extended gravity cosmologies. In particular, we consider f ( R ) gravity, most natural extension Hilbert–Einstein action, and $$f({\mathcal{T}})$$ f ( T ) teleparallel equivalent gravity. Since these theories, expansion laws Universe are modified, as compared to standard $$\Lambda $$ Λ CDM cosmology, it follows that also thermal history particles gets modified. We show models allow avoid late abundance gravitinos. found for an appropriate choice parameters characterizing model, turns out be independent reheating temperature. A similar behavior achieved context this perspective, can conclude geometric corrections General Relativity (and Teleparallel Equivalent Relativity) improve shortcomings both cosmology unified theories beyond model particles.