Borislavov Vassilev, TeodorBouhmadi Lopez, MariamMartín Moruno, María Del Prado2023-10-262023-10-262019-10-102470-001010.1103/PhysRevD.100.084016https://hdl.handle.net/20.500.14352/88462The little sibling of the big rip is a cosmological abrupt event predicted by some phantom cosmological models that could describe our Universe. When this event is approached the observable Universe and its expansion rate grow infinitely, but its cosmic derivative remains finite. In this work we have obtained the group of metric f(R) theories of gravity that reproduce this classical cosmological background evolution. Furthermore, we have considered the quantization of some of the resulting models in the framework of quantum geometrodynamics, showing that the DeWitt criterion can be satisfied. Therefore, as it also happens in general relativity, this event may be avoided in f(R) quantum cosmology.engjournal article2470-0029https://journals.aps.org/prd/abstract/10.1103/PhysRevD.100.084016open access52Modified gravityUniverseWorseAstrofísica21 Astronomía y Astrofísica