The little rip in classical and quantum $f(R)$ cosmology

Abstract

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 analyse 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 towards the avoidance of the little rip in $f(R)$ quantum cosmology.

14 pages. v2: typos fixed, references added, matches published version

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Cited by in corpus (8)

• Rip cosmological models in extended symmetric teleparallel gravity
• Recent advances in cosmological singularities
• Measuring the speed of light with updated Hubble diagram of high-redshift standard candles
• Classical and quantum $f(R)$ cosmology: The big rip, the little rip and the little sibling of the big rip
• Little Rip, Pseudo Rip and bounce cosmology with generalized equation of state in non-standard backgrounds
• Generalized Hidden Conformal Symmetry in Quadratic $f(T)$ Gravity
• New Rotating Black Hole Solutions With Imperfect Fluid Energy-Momentum Tensor In $f(R)$ Gravity
• New Lorentzian Taub-NUT and Euclidean Eguchi-Hanson Solutions in $f(R)$ gravity