Classical and quantum cosmology of the little rip abrupt event - INSPIRE

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Classical and quantum cosmology of the little rip abrupt event

Imanol Albarran
(
- Beira Interior U., Covilha
)
,
Mariam Bouhmadi-López
(
)
,
Claus Kiefer
(
- Cologne U.
)
,
João Marto
(
- Beira Interior U., Covilha
)
,
Paulo Vargas Moniz
(
- Beira Interior U., Covilha
)

Apr 28, 2016

13 pages

Published in:

Phys.Rev.D 94 (2016) 6, 063536

Published: Sep 30, 2016

e-Print:

1604.08365 [gr-qc]

DOI:

10.1103/PhysRevD.94.063536

View in:

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Abstract: (APS)

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 structures 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.

Note:

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

geometrodynamics: quantum
singularity: big rip
effect: quantum
matter: phantom
field theory: scalar
quantum cosmology
Wheeler-DeWitt equation
wave function
cosmological model
gravitation

References(39)

Figures(3)

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