Non-linear Schrödinger-type formulation of scalar field cosmology: two barotropic fluids and exact solutions [CL]

http://arxiv.org/abs/1908.11265


Non-linear Schr\”{o}dinger-type (NLS) formulation of FRW cosmology with canonical scalar field are considered in case of two barotropic fluids. We derived Friedmann formulation variables in terms of NLS variables. Seven exact solutions found by D’Ambroise \cite{DAmbroise:2010dgl} and one new found solution are explored and tested here for their cosmological validity. All solutions given do not result in agreement with observation. The wave functions found here are non-normalizable and the total energy is negative hence it does not support NLS formulation interpretation of quantum cosmology.

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C. Kritpetch, J. Sanongkhun, P. Vanichchapongjaroen, et. al.
Fri, 30 Aug 19
54/58

Comments: 11 pages, 2 figures