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

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arxiv 1609.04577 v4 pith:LZEU7JID submitted 2016-09-15 gr-qc hep-th

Praloy Das , Ripon Sk , Subir Ghosh (Indian Statistical Institute) This is my paper · ORCID
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Charged Binaries in Gravitational Tides

    gr-qc 2024-11 conditional novelty 5.0 of 10

    Tidal corrections to the ISCO and light ring of a Reissner-Nordström black hole are derived analytically and shown to be suppressed but non-vanishing at extremality.

  2. Massive particle surfaces and black hole shadows from intrinsic curvature

    gr-qc 2025-03 unverdicted novelty 4.0 of 10

    Extends intrinsic curvature criteria for massive particle surfaces to stationary spacetimes and demonstrates application to black hole shadows in Kerr-family and Einstein-Maxwell-dilaton solutions.

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