Exact models of pure radiation in <i>R</i>² gravity for spatially homogeneous wave-like Shapovalov spacetimes type II

Presented are exactly integrable models with pure radiation in R2 gravity a cosmological constant related to wave-like Shapovalov spacetimes type II. Spatially homogeneous of were considered. The obtained solutions belong spaces III according the Bianchi classification and N Petrov classification. For under consideration, exact for equations motion test particles Hamilton–Jacobi formalism. models, geodesic deviation obtained.