2016/09/30 by Praloy Das, Ripon Sk, Subir Ghosh · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Charge (physics) #Classical mechanics #Constant curvature #Cosmology and Gravitation Theories #Coulomb #Curvature #Electron #Gaussian curvature #Geometry #Mathematical physics #Mathematics #Metric (unit) #Motion (physics) #Physics #Quantum mechanics #Spacetime #gr-qc #hep-th
paper · pdf · doi:10.1140/epjc/s10052-017-5295-6
22 pages, 11 figures, extensively modified and extended version with major results unchanged, new section with discussions on Gaussian curvature included, references added; version accepted in EPJC
arxiv created 2017/10/12 · openalex publication_date 2017/11/01 · arxiv updated 2017/12/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The present work discusses motion of neutral and charged particles in Reissner–Nordström spacetime. The constant energy paths are derived in a variational principle framework using the Jacobi metric which is parameterized by conserved particle energy. Of particular interest is the case of particle charge and Reissner–Nordström black hole charge being of same sign, since this leads to a clash of opposing forces—gravitational (attractive) and Coulomb (repulsive). Our paper aims to complement the recent work of Pugliese et al. (Eur Phys J C 77:206. arXiv:1304.2940 , 2017; Phys Rev D 88:024042. arXiv:1303.6250 , 2013). The energy dependent Gaussian curvature (induced by the Jacobi metric) plays an important role in classifying the trajectories.