Motion of charged particle in Reissner-Nordstrom spacetime: A Jacobi metric approach

Praloy Das; Ripon Sk; Subir Ghosh (Indian Statistical Institute)

arxiv: 1609.04577 · v4 · pith:LZEU7JIDnew · submitted 2016-09-15 · 🌀 gr-qc · hep-th

Motion of charged particle in Reissner-Nordstrom spacetime: A Jacobi metric approach

Praloy Das , Ripon Sk , Subir Ghosh (Indian Statistical Institute) This is my paper

classification 🌀 gr-qc hep-th

keywords energyjacobimetricparticlechargechargedmotionreissner-nordstrom

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The present work discusses motion of neutral and charged particles in Reissner - Nordstrom 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-Nordstrom 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 compliment the recent works of Pugliese, Quevedo and Ruffini [1,2]. The energy dependent Gaussian curvature (induced by Jacobi metric), plays an important role in classifying the trajectories.

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