2006/06/30 by Wlodzimierz Natorf, W. Natorf, J. Tafel +1
Mathematics · Physics and Astronomy · #Differential equation #Homogeneous space #Homotopy and Cohomology in Algebraic Topology #Infinitesimal #Nonlinear Waves and Solitons #Partial differential equation #Point (geometry) #Quantum Mechanics and Non-Hermitian Physics #Symmetry (geometry) #Symmetry group #gr-qc
paper · pdf · doi:10.1063/1.2359139
published as J.Math.Phys.47:102504,2006 · 8 pages, latex2e, 4 tables, several references added
arxiv created 2006/09/02 · openalex publication_date 2006/10/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study point symmetries of the Robinson-Trautman equation. The cases of one- and two-dimensional algebras of infinitesimal symmetries are discussed in detail. The corresponding symmetry reductions of the equation are given. Higher dimensional symmetries are shortly discussed. It turns out that all known exact solutions of the Robinson-Trautman equation are symmetric.