Resolution of type IV singularities in quantum cosmology

Abstract

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 Wheeler-DeWitt equation for these models. We are able to give analytic solutions for a special case and to draw conclusions for the general case. Adopting the criterion that singularities are avoided if the wave function vanishes in the region of the classical singularity, we find that type IV singularities are avoided only for particular solutions of the Wheeler-DeWitt equation. We compare this result with earlier results found for other types of singularities.

10 pages, 4 figures, clarifications included

References in corpus (12)

• Future of the universe in modified gravitational theories: Approaching to the finite-time future singularity
• Are loop quantum cosmos never singular?
• Worse than a big rip?
• Classification of cosmological milestones
• Quantum phantom cosmology
• Quantum cosmology with big-brake singularity
• On the quantum fate of singularities in a dark-energy dominated universe
• On the generalised Chaplygin gas: worse than a big rip or quieter than a sudden singularity?
• Evidence for Maximal Acceleration and Singularity Resolution in Covariant Loop Quantum Gravity
• Quantum cosmology and late-time singularities
• The Wheeler-DeWitt Quantization Can Solve the Singularity Problem
• Does the Big Rip survive quantization?

Cited by in corpus (24)

• Dynamical Systems Perspective of Cosmological Finite-time Singularities in $f(R)$ Gravity and Interacting Multifluid Cosmology
• Singular Inflationary Universe from $F(R)$ Gravity
• Finite-time Cosmological Singularities and the Possible Fate of the Universe
• Wormholes minimally violating the null energy condition
• Thermodynamical Structure of AdS Black Holes in Massive Gravity with Stringy Gauge-Gravity Corrections
• Singularity avoidance in Bianchi I quantum cosmology
• A Study of Finite-time Singularities of Loop Quantum Cosmology Interacting Multifluids
• Cosmological perturbations in an effective and genuinely phantom dark energy Universe
• Phantom singularities and their quantum fate: general relativity and beyond
• The quantum realm of the "Little Sibling" of the Big Rip singularity
• Classical and quantum cosmology of Born-Infeld type models
• Towards the Quantization of Eddington-inspired-Born-Infeld Theory
• Generic absence of strong singularities and geodesic completeness in modified loop quantum cosmologies
• Future singularities if the universe underwent Starobinsky inflation in the past
• Classical and quantum cosmology of the little rip abrupt event
• Quantisation of the holographic Ricci dark energy model
• Singular Accelerated Evolution in Massive $F(R)$ Bigravity
• Discreteness of time in the evolution of the universe
• Dark energy and dark matter perturbations in singular universes
• Late-time evolution of cosmological models with fluids obeying a Shan-Chen-like equation of state
• Effects of a Quantum or Classical Scalar Field on the Entanglement Entropy of a Pair of Universes
• Quantum relativistic cosmology: dynamical interpretation and tunneling universe
• Singularities and Soft-Big Bang in a viscous $\Lambda$CDM model
• Fermionic quantum cosmology as a framework for resolving type IV singularities