论文标题
R^2重力中的纯辐射的精确模型，用于空间均匀的Shapovalov SpaceTimes II
Exact models of pure radiation in R^2 gravity for spatially homogeneous Shapovalov spacetimes type II
论文作者
论文摘要
呈现的是具有R^2重力的纯辐射的完全可集成的模型，具有宇宙常数，与波浪样Shapovalov空间II相关。考虑了Shapovalov空间的空间均匀模型。根据比安奇分类，获得的溶液属于III型的空间。对于正在考虑的模型，在汉密尔顿 - 雅各比形式上获得了测试颗粒运动方程的精确解。
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.
