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Classical solutions from quantum regime for barotropic FRW model. (English) Zbl 1034.83031

Summary: The quantization of gravity coupled to barotropic perfect fluid matter field with a cosmological constant is carried out. The wave function can be determined for any curvature index \(\kappa\) in the FRW minisuperspace model. The meaning of the existence of the classical solution is discussed in the WKB semiclassical approximation.

MSC:

83F05 Relativistic cosmology
83C20 Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory
83C45 Quantization of the gravitational field