Classical and quantum cosmology of the little rip abrupt event

Abstract

We analyze from a classical and quantum point of view the behavior of the universe close to a little rip, which can be interpreted as a big rip sent towards the infinite future. Like a big rip singularity, a little rip implies the destruction of all bounded structure in the Universe and is thus an event where quantum effects could be important. We present here a new phantom scalar field model for the little rip. The quantum analysis is performed in quantum geometrodynamics, with the Wheeler-DeWitt equation as its central equation. We find that the little rip can be avoided in the sense of the DeWitt criterion, that is, by having a vanishing wave function at the place of the little rip. Therefore our analysis completes the answer to the question: can quantum cosmology smoothen or avoid the divergent behavior genuinely caused by phantom matter? We show that this can indeed happen for the little rip, similar to the avoidance of a big rip and a little sibling of the big rip.

17 pages, 3 figures, RevTex4-1. Heavily revised version: equations corrected and a new appendix added. Physical conclusions unchanged. Version accepted in PRD

References in corpus (10)

• Quantum phantom cosmology
• Quantum cosmology with big-brake singularity
• Equivalence of a Complex $\cP\cT$-Symmetric Quartic Hamiltonian and a Hermitian Quartic Hamiltonian with an Anomaly
• On the quantum fate of singularities in a dark-energy dominated universe
• The little sibling of the big rip singularity
• Quantum geometrodynamics: whence, whither?
• The quantum realm of the "Little Sibling" of the Big Rip singularity
• Classical and quantum cosmology of Born-Infeld type models
• Quantisation of the holographic Ricci dark energy model
• Will quantum cosmology resurrect chaotic inflation model?

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