Journal of Physics A Mathematical and General · 1977 · 10 citations · 4 references
Natural SciencesMathematicsPhysicsDifferential EquationsDynamical SystemsMathematical PhysicsHamiltonian DynamicsHamiltonian MechanicsHamiltonian SystemsLie GroupsSpacetime GeometryHamilton-jacobi EquationsHamilton-jacobi TheoryHamiltonian N-body SystemsHamiltonian Partial Differential Equations
All empty space-times admitting a one-parameter group of motions and in which the Hamilton-Jacobi equation is (partially) separable are obtained. Several different cases of such empty space-times exist and the Riemann tensor is found to be either type D or N. The results presented here complete the search for empty space-times with separable Hamilton-Jacobi equation.
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