2025/07/25 by Z. Xu, Xu, Zhen-Meng, Da‐Zhu Ma +3
Physics and Astronomy · #Black Holes and Theoretical Physics #Pulsars and Gravitational Waves Research #Astrophysical Phenomena and Observations
paper · pdf · doi:10.48550/arxiv.2507.18879
The Gibbons-Maeda-Garfinkle-Horowitz-Strominger (GMGHS) dilatonic black hole, a key solution in low-energy string theory, exhibits previously unexplored chaotic dynamics for charged test particles under electromagnetic influence. While characterizing such chaos necessitates high-precision numerical solutions, our prior research confirms the explicit symplectic algorithm as the optimal numerical integration tool for strongly curved gravitational celestial systems. Leveraging the Hamiltonian formulation of the GMGHS black hole, we develop an optimized fourth-order symplectic algorithm PRK64. This algorithm enables a systematic investigation of the chaotic motion employing four distinct chaos indicators: Shannon entropy, Poincare sections, the maximum Lyapunov exponents, and the Fast Lyapunov indicators. Our results demonstrate a critical dependence of chaos on both electric charge (Q, characterized by the Coulomb parameter Q^*) and magnetic charge (Qm). Specifically, in electrically charged backgrounds, order-to-chaos transitions arise with increasing Q or decreasing Q^*. Conversely, in magnetically charged backgrounds, chaos emerges as Qm increases. These findings validate Shannon entropy as a robust chaos indicator within relativistic frameworks and provide novel insights on the dynamics of string-theoretic black holes.