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  f(R) quantum cosmology: avoiding the Big Rip

Alonso-Serrano, A., Bouhmadi-Lopez, M., & Martin-Moruno, P. (2018). f(R) quantum cosmology: avoiding the Big Rip. Physical Review D, 98(10): 104004. doi:10.1103/PhysRevD.98.104004.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0001-40FA-D Version Permalink: http://hdl.handle.net/21.11116/0000-0002-E7CD-3
Genre: Journal Article

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 Creators:
Alonso-Serrano, Ana1, Author              
Bouhmadi-Lopez, Mariam, Author
Martin-Moruno, Prado, Author
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc
 Abstract: Extended theories of gravity have gathered a lot of attention over the last years, for they not only provide an excellent framework to describe the inflationary era but also yields an alternative to the elusive and mysterious dark energy. Among the different extended theories of gravity, on this work we focus on metric $f(R)$ theories. In addition, it is well known that if the late-time acceleration of the universe is stronger than the one induced by a cosmological constant then some future cosmic singularities might arise, being the Big Rip the most virulent one. Following this reasoning, on this work, we analyse the Big Rip singularity in the framework of $f(R)$ quantum geometrodynamics. Invoking the DeWitt criterium, i. e. that the wave function vanishes at the classical singularity, we proof that a class of solutions to the Wheeler-DeWitt equation fulfilling this condition can be found. Therefore, this result hints towards the avoidance of the Big Rip in metric $f(R)$ theories of gravity.

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 Dates: 2018-02-092018
 Publication Status: Published in print
 Pages: 13
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1802.03290
URI: http://arxiv.org/abs/1802.03290
DOI: 10.1103/PhysRevD.98.104004
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Title: Physical Review D
Source Genre: Journal
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Pages: - Volume / Issue: 98 (10) Sequence Number: 104004 Start / End Page: - Identifier: -