Emilio Elizalde and Jaume Haro 2009 J. Phys. A: Math. Theor. 42 472001 doi:10.1088/1751-8113/42/47/472001
Singularity avoidance in quantum FRW cosmologies in the presence of barotropic perfect fluids
FREE ARTICLEEmilio Elizalde1 and Jaume Haro2
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Recently, an effective formulation of gravity which lies in between the Wheeler–DeWitt approach and classical cosmology was discussed. It was shown that the Big Bang singularity of FRW cosmologies is avoided in a quite natural way. Here, we aim to prove that this formulation is able to avoid the Big Rip singularity too, in contradistinction with Schutz's formalism as applied to quantum cosmological perfect fluids. Actually, in using this last formalism, some authors have argued that such singularity would persist even after quantization, however, what we carried out, with our formulation as a guide, proved not to be the case. Also, it will be argued that it is the implicit regularization of the classical Hamiltonian performed in loop quantum cosmology, which is needed in loop cosmology in order to build a well-defined quantum (discrete) theory, which avoids the Big Rip singularity in that theory, this mechanism being different from other, ordinarily invoked quantum effects.
- PACS
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95.30.Sf Relativity and gravitation
04.50.-h Higher-dimensional gravity and other theories of gravity
- MSC
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81S10 Geometry and quantization, symplectic methods (See also 53D50)
- Subjects
- Dates
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Issue 47 (27 November 2009)
Received 15 September 2009, in final form 6 October 2009
Published 4 November 2009
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Singularity avoidance in quantum FRW cosmologies in the presence of barotropic perfect fluids
Emilio Elizalde and Jaume Haro 2009 J. Phys. A: Math. Theor. 42 472001
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