RT Journal Article T1 Little rip in classical and quantum f(R) cosmology A1 Borislavov Vassilev, Teodor A1 Mariam Bouhmadi López, Mariam A1 Martín Moruno, María Del Prado AB The little rip is a cosmological abrupt event predicted by some phantom dark energy models that could describe the future evolution of our Universe. This event can be interpreted as a big rip singularity delayed indefinitely, although in those models bounded structures will be destroyed in a finite cosmic time in the future. In this work, we analyze the little rip cosmology from a classical and quantum point of view within the scheme of alternative metric f(R) theories of gravity. The quantum analysis is performed in the framework of f(R) quantum geometrodynamics by means of the modified Wheeler-DeWitt equation. In this context, we show that the DeWitt criterion can be satisfied. Similar to what happens in general relativity, this result points toward the avoidance of the little rip in f(R) quantum cosmology. PB American Physical Society SN 2470-0010 YR 2021 FD 2021 LK https://hdl.handle.net/20.500.14352/100864 UL https://hdl.handle.net/20.500.14352/100864 LA eng NO Vasilev, T. B., Bouhmadi-López, M., & Martín-Moruno, P. (2021). Little rip in classical and quantum f (R) cosmology. Physical Review D, 103(12), 124049. NO Ministerio de Economía y Competitividad (España) NO European Commission NO Universidad Complutense de Madrid NO Banco de Santander NO Ikerbasque NO Eusko Jaurlaritza DS Docta Complutense RD 28 dic 2025