Resolution of type IV singularities in quantum cosmology

@article{BouhmadiLpez2014ResolutionOT,
  title={Resolution of type IV singularities in quantum cosmology},
  author={Mariam Bouhmadi-L{\'o}pez and Claus Kiefer and Manuel Kraemer},
  journal={Physical Review D},
  year={2014},
  volume={89},
  pages={064016}
}
We discuss the fate of classical type IV singularities in quantum cosmology. The framework is Wheeler-DeWitt quantization applied to homogeneous and isotropic universes with a perfect fluid described by a generalized Chaplygin gas. Such a fluid can be dynamically realized by a scalar field. We treat the cases of a standard scalar field with positive kinetic energy and of a scalar field with negative energy (phantom field). We first present the classical solutions. We then discuss in detail the… Expand

Figures from this paper

Phantom singularities and their quantum fate: general relativity and beyond—a CANTATA COST action topic
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 theExpand
Quantum cosmology of Eddington-Born–Infeld gravity fed by a scalar field: The big rip case
Abstract We study the quantum avoidance of the big rip singularity in the Eddington-inspired-Born–Infeld (EiBI) phantom model. Instead of considering a simple phantom dark energy component, which isExpand
Generic absence of strong singularities and geodesic completeness in modified loop quantum cosmologies
Different regularizations of the Hamiltonian constraint in loop quantum cosmology yield modified loop quantum cosmologies, namely mLQC-I and mLQC-II, which lead to qualitatively different PlanckExpand
Singularity avoidance in Bianchi I quantum cosmology
We extend recent discussions of singularity avoidance in quantum gravity from isotropic to anisotropic cosmological models. The investigation is done in the framework of quantum geometrodynamicsExpand
The Osgood Criterion and Finite-Time Cosmological Singularities
In this paper, we apply Osgood's criterion from the theory of ordinary differential equations to detect finite-time singularities in a spatially flat FLRW universe in the context of a perfect fluid,Expand
Study of finite-time singularities of loop quantum cosmology interacting multifluids
In this work we study the occurrence of finite-time cosmological singularities in a cosmological system comprising from three fluids. Particularly, the system contains two dark fluids, namely that ofExpand
Singularities and Soft-Big Bang in a viscous $\Lambda$CDM model
In this paper we explore the different types of singularities that arises in the ΛCDM model when dissipative process are considered, in the framework of the Eckart’s theory. In particular, we studyExpand
Dynamical systems perspective of cosmological finite-time singularities in f(R) gravity and interacting multifluid cosmology
In this work we shall investigate the occurrence of future cosmological finite-time singularities in the dynamical system corresponding to two cosmological theories, namely that of vacuum $f(R)$Expand
Towards the Quantization of Eddington-inspired-Born-Infeld Theory
The quantum effects close to the classical big rip singularity within the Eddington-inspired-Born-Infeld theory (EiBI) are investigated through quantum geometrodynamics. It is the first time thatExpand
Quantisation of the holographic Ricci dark energy model
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 theExpand
...
1
2
3
...

References

SHOWING 1-10 OF 31 REFERENCES
The Large Scale Structure of Space-Time
TLDR
The theory of the causal structure of a general space-time is developed, and is used to study black holes and to prove a number of theorems establishing the inevitability of singualarities under certain conditions. Expand
Quantum Gravity
General lectures on quantum gravity. 1 General Questions on Quantum Gravity It is not clear at all what is the problem in quantum gravity (cf. [3] or [8] for general reviews, written in the sameExpand
"J."
however (for it was the literal soul of the life of the Redeemer, John xv. io), is the peculiar token of fellowship with the Redeemer. That love to God (what is meant here is not God’s love to men)Expand
Ann
Aaron Beck’s cognitive therapy model has been used repeatedly to treat depression and anxiety. The case presented here is a 34-year-old female law student with an adjustment disorder with mixedExpand
Phys
  • Rev. D 76, 064032
  • 2007
Phys
  • Rev. D 38, 1761
  • 1988
Phys
  • Rev. D 79, 124035
  • 2009
Kamenshchik
  • Class. Quantum Grav. 30, 173001
  • 2013
Phys
  • Rev. Lett. 111, 091303
  • 2013
Y
  • -C. Huang, and Y. - H. Lin, Phys. Rev. D 87, 103513
  • 2013
...
1
2
3
4
...