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Gravitational lensing in dispersive media and deflection angle of charged massive particles in terms of curvature scalars and energy-momentum tensor

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arxiv 1905.02125 v3 pith:QEO47KNC submitted 2019-05-06 gr-qc

Gabriel Crisnejo , Emanuel Gallo , José R. Villanueva This is my paper · ORCID
classification gr-qc
keywords angledeflectionmassiveparticlesplasmachargedenergy-momentumexpressions
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In this work we extend the approach used in [Emanuel Gallo and Osvaldo M. Moreschi, Phys. Rev. D 83, 12 083007 (2011)] to the study of weak gravitational lensing in a plasma medium. First, we present expressions for the deflection angle and optical scalars in terms of the components of the energy-momentum tensor for spherically symmetric lenses surrounded by a cold non-magnetized plasma. Second, we show that the same expressions can be deduced using the Gauss-Bonnet theorem. Finally, we establish a correspondence between the spatial orbits of photons in a non-homogeneous plasma and the non-geodesic curves followed by test massive particles whose dynamics also depend on an external central field. As an application, we use the Gauss-Bonnet theorem to compute the deflection angle of the non-geodesic trajectories followed by relativistic test massive charged particles in a Reissner-Nordstr\"om spacetime.

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Cited by 4 Pith papers

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

  1. From Matter Density to Deflection Angle and Gravitational Lensing Using a Perturbative Method

    gr-qc 2025-02 accept novelty 6.0 of 10

    A perturbative scheme connects any static spherical density profile to gravitational deflection angles and lensed image positions through the Tolman-Oppenheimer-Volkoff equations.

  2. Weak deflection angle of charged signal in magnetic fields

    gr-qc 2025-01 conditional novelty 6.0 of 10

    Weak deflection of charged signals in magnetized black hole spacetimes can be split into gravitational and electromagnetic parts, with magnetic dipole effects entering one order higher than electrostatic effects.

  3. Gravitational lensing in a plasma from worldlines

    hep-th 2024-12 conditional novelty 6.0 of 10

    The worldline formalism yields a closed-form NLO plasma-induced deflection angle for power-law electron density, matching previous results where they exist.

  4. Strong field gravitational lensing of particles by a black-bounce-Schwarzschild black hole

    gr-qc 2026-02 accept novelty 5.0 of 10

    For a black-bounce-Schwarzschild black hole, the paper derives the strong-deflection lensing observables for massive particles and quantifies how they differ from photon lensing.

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