A Note on the Construction of Explicit Symplectic Integrators for Schwarzschild Spacetimes
A Note on the Construction of Explicit Symplectic Integrators for Schwarzschild Spacetimes
Abstract In recent publications, the construction of explicit symplectic integrators for Schwarzschild- and Kerr-type spacetimes is based on splitting and composition methods for numerical integrations of Hamiltonians or time-transformed Hamiltonians associated with these spacetimes. Such splittings are not unique but have various options. A Hamiltonian describing the motion of charged …