2020/12/31 by К. Е. Осетрин, Konstantin Osetrin, Altair Filippov +2
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Geology #Gravitational wave #Homogeneous #Mathematical physics #Physics #Quantum mechanics #Statistical physics #Theoretical physics #Type (biology) #gr-qc #math-ph #math.MP #msc:83-10 #msc:83D05 #msc:83F05
paper · pdf · doi:10.1063/5.0054684
published as Journal of Mathematical Physics, 2021, 62(9),092501 · 11 pages
arxiv created 2021/01/03 · openalex publication_date 2021/09/01 · openalex created_date 2021/09/13 · arxiv updated 2022/03/10 · openalex updated_date 2026/08/05
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 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.