期刊
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS
卷 -, 期 11, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1475-7516/2015/11/044
关键词
quantum cosmology; cosmic singularity; quantum gravity phenomenology
资金
- Portuguese Agency Fundacao para a Ciencia e Tecnologia [PTDC/FIS/111 032/2009]
- Portuguese Agency Fundacao para a Ciencia e Tecnologia through an Investigador FCT Research [IF/01442/2013/CP1196/CT0001]
- Basque government (Spain) [IT592-13]
- Spanish Ministry of Economy and Competitiviness through the postdoctoral training [FPDI-2013-16161]
- [PTDC/FIS/111032/2009]
- [UID/MAT/00212/2013]
- [FIS2014-57956-P]
- [FIS2014-52837-P]
- Fundação para a Ciência e a Tecnologia [IF/01442/2013/CP1196/CT0001] Funding Source: FCT
We analyse the quantum behaviour of the Little Sibling of the Big Rip singularity (LSBR) [1]. The quantisation is carried within the geometrodynamical approach given by the Wheeler-DeWitt (WDW) equation. The classical model is based on a Friedmann-Lemaitre-Robertson-Walker Universe filled by a perfect fluid that can be mapped to a scalar field with phantom character. We analyse the WDW equation in two setups. In the first step, we consider the scale factor as the single degree of freedom, which from a classical perspective parametrises both the geometry and the matter content given by the perfect fluid. We then solve the WDW equation within a WKB approximation, for two factor ordering choices. On the second approach, we consider the WDW equation with two degrees of freedom: the scale factor and a scalar field. We solve the WDW equation, with the Laplace-Beltrami factor-ordering, using a Born-Oppenheimer approximation. In both approaches, we impose the DeWitt (DW) condition as a potential criterion for singularity avoidance. We conclude that in all the cases analysed the DW condition can be verified, which might be an indication that the LSBR can be avoided or smoothed in the quantum approach.
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