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Universe 2017, 3(2), 36; doi:10.3390/universe3020036

Quantum Cosmology of the Big Rip: Within GR and in a Modified Theory of Gravity

1
Department of Theoretical Physics, University of the Basque Country UPV/EHU, P.O. Box 644, 48080 Bilbao, Spain
2
IKERBASQUE, Basque Foundation for Science, 48011 Bilbao, Spain
3
Departamento de Física, Universidade da Beira Interior, Rua Marquês D’Ávila e Bolama, 6201-001 Covilhã, Portugal
4
Centro de Matemática e Aplicações da Universidade da Beira Interior (CMA-UBI), Rua Marquês D’Ávila e Bolama, 6201-001 Covilhã, Portugal
5
Department of Physics, National Taiwan University, 10617 Taipei, Taiwan
6
LeCosPA, National Taiwan University, 10617 Taipei, Taiwan
*
Author to whom correspondence should be addressed.
Academic Editors: Mariusz P. Dąbrowski, Manuel Krämer and Vincenzo Salzano
Received: 8 March 2017 / Revised: 7 April 2017 / Accepted: 12 April 2017 / Published: 14 April 2017
(This article belongs to the Special Issue Varying Constants and Fundamental Cosmology)
View Full-Text   |   Download PDF [264 KB, uploaded 14 April 2017]   |  

Abstract

Quantum gravity is the theory that is expected to successfully describe systems that are under strong gravitational effects while at the same time being of an extreme quantum nature. When this principle is applied to the universe as a whole, we use what is commonly named “quantum cosmology”. So far we do not have a definite quantum theory of gravity or cosmology, but we have several promising approaches. Here we will review the application of the Wheeler–DeWitt formalism to the late-time universe, where it might face a Big Rip future singularity. The Big Rip singularity is the most virulent future dark energy singularity which can happen not only in general relativity but also in some modified theories of gravity. Our goal in this paper is to review two simple setups of the quantisation of the Big Rip in a Friedmann–Lemaître–Robertson–Walker universe within general relativity and in a modified theory of gravity. View Full-Text
Keywords: quantum cosmology; future singularities; modified theories of gravity; holographic dark energy; Eddington-inspired-Born-Infeld theory quantum cosmology; future singularities; modified theories of gravity; holographic dark energy; Eddington-inspired-Born-Infeld theory
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Bouhmadi-López, M.; Albarran, I.; Chen, C.-Y. Quantum Cosmology of the Big Rip: Within GR and in a Modified Theory of Gravity. Universe 2017, 3, 36.

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