RT Journal Article T1 Classical and quantum fate of the little sibling of the big rip in f (R) cosmology A1 Borislavov Vassilev, Teodor A1 Bouhmadi Lopez, Mariam A1 Martín Moruno, María Del Prado AB The 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. PB American Physical Society SN 2470-0010 YR 2019 FD 2019-10-10 LK https://hdl.handle.net/20.500.14352/88462 UL https://hdl.handle.net/20.500.14352/88462 LA eng NO Fundación Vasca para la Ciencia, Ikerbasque NO Gobierno Vasco NO Ministerio de Economia y Competitividad (MINECO) NO AEI/FEDER, UE DS Docta Complutense RD 7 abr 2025