The spacetime models with dust matter that admit separation of variables in Hamilton–Jacobi equations of a test particle
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Publication:2800894
DOI10.1142/S0217732316500279zbMath1334.70032arXiv1510.03147MaRDI QIDQ2800894
K. E. Osetrin, Evgeny Osetrin, A. E. Filippov
Publication date: 19 April 2016
Published in: Modern Physics Letters A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1510.03147
Applications of differential geometry to physics (53Z05) Hamilton-Jacobi equations in mechanics (70H20) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)
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Algebras of symmetry operators of the Klein-Gordon-Fock equation for groups acting transitively on two-dimensional subspaces of a space-time manifold ⋮ Algebras of integrals of motion for the Hamilton–Jacobi and Klein–Gordon–Fock equations in spacetime with four-parameter groups of motions in the presence of an external electromagnetic field ⋮ Spatially homogeneous conformally Stäckel spaces of type (3.1) ⋮ Spatially homogeneous models Stäckel spaces of type (2.1) ⋮ Pure radiation in space-time models that admit integration of the eikonal equation by the separation of variables method ⋮ Deviation of geodesics and particle trajectories in a gravitational wave of the Bianchi type VI universe ⋮ Separation of variables in Hamilton–Jacobi and Klein–Gordon–Fock equations for a charged test particle in the stackel spaces of type (1.1) ⋮ Wave-like spatially homogeneous models of Stäckel spacetimes (2.1) type in the scalar-tensor theory of gravity ⋮ Exact models of pure radiation in R2 gravity for spatially homogeneous wave-like Shapovalov spacetimes type II ⋮ Integration of the Hamilton-Jacobi and Maxwell equations in diagonal metrics of Stäckel spaces ⋮ Models of generalized scalar-tensor gravitation theories with radiation allowing the separation of variables in the eikonal equation
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