Motion of charged particle in Reissner–Nordström spacetime: a Jacobi-metric approach
作者： Praloy Das , Ripon Sk , Subir Ghosh
DOI: 10.1140/EPJC/S10052-017-5295-6
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摘要: The present work discusses motion of neutral and charged particles in Reissner–Nordstrom spacetime. constant energy paths are derived a variational principle framework using the Jacobi metric which is parameterized by conserved particle energy. Of particular interest case charge black hole being same sign, since this leads to clash opposing forces—gravitational (attractive) Coulomb (repulsive). Our paper aims complement recent Pugliese et al. (Eur Phys J C 77:206. arXiv:1304.2940 , 2017; Rev D 88:024042. arXiv:1303.6250 2013). dependent Gaussian curvature (induced metric) plays an important role classifying trajectories.
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Alexei Deriglazov, Classical Mechanics: Hamiltonian and Lagrangian Formalism ,(2010)
MARCO OLIVARES, JOEL SAAVEDRA, CARLOS LEIVA, JOSÉ R. VILLANUEVA, Motion of charged particles on the Reissner-Nordström (Anti)-de Sitter black holes arXiv: General Relativity and Quantum Cosmology. ,(2011) , 10.1142/S0217732311037261
G. W. Gibbons, C. M. Warnick, Universal properties of the near-horizon optical geometry Physical Review D. ,vol. 79, pp. 064031- ,(2009) , 10.1103/PHYSREVD.79.064031
Saskia Grunau, Valeria Kagramanova, Geodesics of electrically and magnetically charged test particles in the Reissner-Nordström space-time: Analytical solutions Physical Review D. ,vol. 83, pp. 044009- ,(2011) , 10.1103/PHYSREVD.83.044009
Marek Szydl/owski, Michael Heller, Wiesl/aw Sasin, Geometry of spaces with the Jacobi metric Journal of Mathematical Physics. ,vol. 37, pp. 346- 360 ,(1996) , 10.1063/1.531394
Daniela Pugliese, Hernando Quevedo, Remo Ruffini, Motion of charged test particles in Reissner-Nordström spacetime Physical Review D. ,vol. 83, pp. 104052- ,(2011) , 10.1103/PHYSREVD.83.104052
Daniela Pugliese, Hernando Quevedo, Remo Ruffini, Equatorial circular motion in Kerr spacetime Physical Review D. ,vol. 84, pp. 044030- ,(2011) , 10.1103/PHYSREVD.84.044030
Daniela Pugliese, Hernando Quevedo, Remo Ruffini, Equatorial circular orbits of neutral test particles in the Kerr-Newman spacetime Physical Review D. ,vol. 88, pp. 024042- ,(2013) , 10.1103/PHYSREVD.88.024042
Ong Chong Pin, Curvature and mechanics Advances in Mathematics. ,vol. 15, pp. 269- 311 ,(1975) , 10.1016/0001-8708(75)90139-5
Daniela Pugliese, Hernando Quevedo, Remo Ruffini, Circular motion of neutral test particles in Reissner-Nordström spacetime Physical Review D. ,vol. 83, pp. 024021- ,(2011) , 10.1103/PHYSREVD.83.024021