Exact models of pure radiation in R^2 gravity for spatially homogeneous Shapovalov spacetimes type II

TL;DR

This paper develops exactly solvable models of pure radiation in R^2 gravity with a cosmological constant, focusing on wave-like Shapovalov spacetimes type II, and provides exact test particle solutions.

Contribution

It introduces new integrable models of pure radiation in R^2 gravity related to specific Shapovalov spacetimes, including exact test particle solutions.

Findings

Models are spatially homogeneous of Bianchi type III.

Exact solutions of test particle equations are derived.

Models are related to wave-like Shapovalov spacetimes type II.

Abstract

Presented are exactly integrable models with pure radiation in R^2 gravity with a cosmological constant, related to wave-like Shapovalov spacetimes type II. Spatially homogeneous models of Shapovalov spaces were considered. The obtained solutions belong to spaces of type III according to the Bianchi classification. For the models under consideration, exact solutions of the equations of motion of test particles are obtained in the Hamilton-Jacobi formalism.