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