# Quantum fate of singularities in a dark-energy dominated universe

@article{BouhmadiLpez2009QuantumFO,
title={Quantum fate of singularities in a dark-energy dominated universe},
author={Mariam Bouhmadi-L{\'o}pez and Claus Kiefer and Barbara Sandhoefer and Paulo Vargas Moniz},
journal={Physical Review D},
year={2009},
volume={79},
pages={124035}
}
• Published 14 May 2009
• Physics
• Physical Review D
Classical models for dark energy can exhibit a variety of singularities, many of which occur for scale factors much bigger than the Planck length. We address here the issue of whether some of these singularities, the big freeze and the big demarrage, can be avoided in quantum cosmology. We use the framework of quantum geometrodynamics. We restrict our attention to a class of models whose matter content can be described by a generalized Chaplygin gas and be represented by a scalar field with an…
56 Citations

## Figures from this paper

Quantum cosmology and late-time singularities
The development of dark energy models has stimulated interest to cosmological singularities, which differ from the traditional Big Bang and Big Crunch singularities. We review a broad class of
Little rip in classical and quantum f(R) cosmology
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
On the avoidance of classical singularities in quantum cosmology
Many cosmological models based on general relativity contain singularities. I address here the question whether consistent models without singularities can exist in quantum cosmology. The discussion
f(R) quantum cosmology: Avoiding the big rip
• Physics
Physical Review D
• 2018
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
Can singularities be avoided in quantum cosmology?
Many cosmological models based on general relativity contain singularities. In this contribution I address the question whether consistent models without singularities can exist in quantum cosmology.
Classical and quantum fate of the little sibling of the big rip in f(R) cosmology
• Physics
Physical Review D
• 2019
The Little Sibling of the Big Rip is a cosmological abrupt event predicted by some phantom cosmological models that could describe our Universe. When this event is approached the observable Universe
Phantom singularities and their quantum fate: general relativity and beyond—a CANTATA COST action topic
• Physics
General Relativity and Gravitation
• 2019
Cosmological observations allow the possibility that dark energy is caused by phantom fields. These fields typically lead to the occurrence of singularities in the late Universe. We review here the
Future soft singularities, Born-Infeld-like fields, and particles
• Mathematics, Physics
• 2020
We consider different scenarios of the evolution of the universe, where the singularities or some non-analyticities in the geometry of the spacetime are present, trying to answer the following
Quantisation of the holographic Ricci dark energy model
• Physics
• 2015
While general relativity is an extremely robust theory to describe the gravitational interaction in our Universe, it is expected to fail close to singularities like the cosmological ones. On the

## References

SHOWING 1-10 OF 97 REFERENCES
Quantum cosmology with a big-brake singularity
• Physics, Mathematics
• 2007
We investigate a cosmological model with a big-brake singularity in the future: while the first time derivative of the scale factor goes to zero, its second time derivative tends to minus infinity.
Properties of singularities in the (phantom) dark energy universe
• Physics, Mathematics
• 2005
The properties of future singularities are investigated in the universe dominated by dark energy including the phantom-type fluid. We classify the finite-time singularities into four classes and
Avoidance of future singularities in loop quantum cosmology
• Physics
• 2006
We consider the fate of future singularities in the effective dynamics of loop quantum cosmology. Nonperturbative quantum geometric effects which lead to ${\ensuremath{\rho}}^{2}$ modification of the
Quantum effects, soft singularities and the fate of the universe in a braneworld cosmology
• Physics
• 2006
We examine a class of braneworld models in which the expanding universe encounters a 'quiescent' future singularity. At a quiescent singularity, the energy density and pressure of the cosmic fluid as
Escaping the big rip
• Physics
• 2005
We discuss dark energy models which might describe effectively the actual acceleration of the universe. More precisely, for a four-dimensional Friedmann–Lemaitre–Robertson–Walker (FLRW) universe we
Singularities in loop quantum cosmology.
• Physics, Mathematics
Physical review letters
• 2008
While LQC avoids big bang or big rip type singularities, it is found that sudden singularities where the Hubble rate is bounded, but the Ricci curvature scalar diverges are found.
Dynamics of dark energy
• Physics
• 2006
We review in detail a number of approaches that have been adopted to try and explain the remarkable observation of our accelerating universe. In particular we discuss the arguments for and recent
Quantum phantom cosmology
• Physics
• 2006
We apply the formalism of quantum cosmology to models containing a phantom field. Three models are discussed explicitly: a toy model, a model with an exponential phantom potential, and a model with
Quantum cosmological Friedman models with an initial singularity
We consider the Wheeler–DeWitt equation Hψ = 0 in a suitable Hilbert space. It turns out that this equation has countably many solutions ψi which can be considered as eigenfunctions of a Hamilton