Hamilton–Jacobi Equation for a Charged Test Particle in the Stäckel Space of Type (2.0)
В. В. Обухов
Abstract
All electromagnetic potentials and space–time metrics of Stäckel spaces of type (2.0) in which the Hamilton–Jacobi equation for a charged test particle can be integrated by the method of complete separation of variables are found. Complete sets of motion integrals, as well as complete sets of killing vector and tensor fields, are constructed. The results can be used when studying solutions of field equations in the theory of gravity.
Topics & Concepts
Test particleSpace (punctuation)Type (biology)Separation of variablesMathematicsCharged particleHamilton–Jacobi equationTensor (intrinsic definition)Classical mechanicsElectromagnetic fieldPhysicsMathematical analysisMotion (physics)Mathematical physicsParticle (ecology)Field (mathematics)Pure mathematicsQuantum mechanicsComputer sciencePartial differential equationOceanographyBiologyEcologyIonGeologyOperating systemCosmology and Gravitation TheoriesGeophysics and Gravity MeasurementsRelativity and Gravitational Theory