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Similarity solutions for the Wheeler–DeWitt equation in $$f\left( R\right) $$fR-cosmology
2019
European Physical Journal C: Particles and Fields
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In the case of a spatially flat Friedmann-Lemaître-Robertson-Walker Universe in f (R)-gravity we write the Wheeler-DeWitt equation of quantum cosmology. The equation depends upon the functional form of f (R). We choose to work with four specific functions of f (R) in which the field equations for the classical models are integrable and solvable through quadratures. For these models we determine similarity solutions for the Wheeler-DeWitt equation by determining Lie-Bäcklund transformations. In
doi:10.1140/epjc/s10052-019-7553-2
fatcat:u5hnpkpambfm3pxjlacfskcd6a