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arXiv · 1908.11265

Non-linear Schr\"{o}dinger-type formulation of scalar field cosmology: two barotropic fluids and exact solutions

Chonticha Kritpetch·Jarunee Sanongkhun·Pichet Vanichchapongjaroen·Burin Gumjudpai
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Abstract

Time-independent 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 in cosmology. The result suggests that time-independent NLS formulation of cosmology case should be upgraded to the time-dependent case.

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Chonticha Kritpetch, Jarunee Sanongkhun, Pichet Vanichchapongjaroen, Burin Gumjudpai. 2019-08-29. Non-linear Schr\"{o}dinger-type formulation of scalar field cosmology: two barotropic fluids and exact solutions. https://doi.org/10.1142/s0217732320501576

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