Application of Explicit Symplectic Integrators in the Magnetized Reissner–Nordström Spacetime

oleh: Ai-Rong Hu, Guo-Qing Huang

Format: Article
Diterbitkan: MDPI AG 2023-05-01

Deskripsi

In recent works by Wu and Wang a class of explicit symplectic integrators in curved spacetimes was presented. Different splitting forms or appropriate choices of time-transformed Hamiltonians are determined based on specific Hamiltonian problems. As its application, we constructed a suitable explicit symplectic integrator for surveying the dynamics of test particles in a magnetized Reissner–Nordström spacetime. In addition to computational efficiency, the scheme exhibits good stability and high precision for long-term integration. From the global phase-space structure of Poincaré sections, the extent of chaos can be strengthened when energy <i>E</i>, magnetic parameter <i>B</i>, or the charge <i>q</i> become larger. On the contrary, the occurrence of chaoticity is weakened with an increase of electric parameter <i>Q</i> and angular momentum <i>L</i>. The conclusion can also be supported by fast Lyapunov indicators.