2020/12/11 by V. V. Obukhov · 1 citation
Physics and Astronomy · Mathematics · #gr-qc #math-ph #math.MP #msc:83C10 #msc:83C15 #msc:83C20 #msc:83C50
paper · pdf · doi:10.1142/s0219887821500365
The article will be published in IJGMMP
arxiv created 2020/12/11 · arxiv updated 2021/03/31
All equivalence classes for electromagnetic potentials and space-time metrics of Stackel spaces, provided that Hamilton-Jacobi equation and Klein-Gordon-Fock equation for a charged test particle can be integrated by the method of complete separation of variables are found. The separation is carried out using the complete sets of mutually-commuting integrals of motion of type (1.1). Whereby in a privileged coordinate system the given equations turn into parabolic type equations. Hence, these metrics can be used as models for describing plane gravitational waves.