Classical and Quantum f(R) Cosmology: The Big Rip, the Little Rip and the Little Sibling of the Big Rip

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Borislavov Vasilev, Teodor and Bouhmadi López, Mariam and Martín Moruno, Prado (2021) Classical and Quantum f(R) Cosmology: The Big Rip, the Little Rip and the Little Sibling of the Big Rip. Universe, 7 (8). p. 288. ISSN 2218-1997

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Official URL: https://doi.org/10.3390/universe7080288



Abstract

The big rip, the little rip and the little sibling of the big rip are cosmological doomsdays predicted by some phantom dark-energy models that could describe the future evolution of our universe. When the universe evolves towards either of these future cosmic events, all bounded structures and, ultimately, space–time itself are ripped apart. Nevertheless, it is commonly believed that quantum gravity effects may smooth or even avoid these classically predicted singularities. In this review, we discuss the classical and quantum occurrence of these riplike events in the scheme of metric f(R) theories of gravity. The quantum analysis is performed in the framework of f(R) quantum geometrodynamics. In this context, we analyze the fulfilment of the DeWitt criterion for the avoidance of these singular fates. This review contains as well new unpublished work (the analysis of the equation of state for the phantom fluid and a new quantum treatment of the big rip and the little sibling of the big rip events).


Item Type:Article
Uncontrolled Keywords:quantum cosmology; quantum geometrodynamics; Wheeler-DeWitt equation; extended theories of gravity; dark energy singularities
Subjects:Sciences > Physics
Sciences > Physics > Astronomy
ID Code:71563
Deposited On:31 Mar 2022 07:43
Last Modified:31 Mar 2022 07:46

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