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THE EXTENDED CLASS OF EXACT COSMOLOGICAL SOLUTIONS BASED ON THE DARBOUX TRANSFORMATIONS
Fomin I.V.
Form-invariant transformations of the equations of cosmological dynamics for inflationary models with a scalar field based on Einstein gravity are considered. Based on a combination of various form-invariant transformations, extended Darboux transformations are obtained. A method for constructing chains of exact solutions of the equations of cosmological dynamics based on this transformations is considered.
Keywords: cosmological models, scalar field, relic gravitational waves
UDC: 530.12, 531.51
PACS: 04.50.-h
DOI: 10.17238/issn2226-8812.2025.2.103-117
Please cite this article in English as:
Fomin I. V. The extended class of exact cosmological solutions based on the Darboux transformations.
Space, Time and Fundamental Interactions, 2025, no. 2, pp. 103–117.