Higher order corrections to deflection angle of massive particles and light rays in plasma media for stationary spacetimes using the Gauss-Bonnet theorem

Abstract

The purpose of this article is twofold. First, we extend the results presented in [Gabriel Crisnejo and Emanuel Gallo, Phys.Rev.D 97, 124016 (2018)] to stationary spacetimes. Specifically, we show that the Gauss-Bonnet theorem can be applied to describe the deflection angle of light rays in plasma media in stationary spacetimes. Second, by using a correspondence between the motion of light rays in a cold non magnetized plasma and relativistic test massive particles we show that this technique is not only powerful to obtain the leading order behavior of the deflection angle of massive/massless particles in the weak field regime but also to obtain higher order corrections. We particularize it to a Kerr background where we compute the deflection angle for test massive particles and light rays propagating in a non homogeneous cold plasma by including third order corrections in the mass and spin parameters of the black hole.

New plots. Accepted for publication in PRD

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Cited by in corpus (12)

• Axion-plasmon or magnetized plasma effect on an observable shadow and gravitational lensing of a Schwarzschild black hole
• Rotating regular black holes in conformal massive gravity
• Shape of higher-order images of equatorial emission rings around a Schwarzschild black hole: Analytical description with polar curves
• Gravitational lens without asymptotic flatness: Its application to the Weyl gravity
• Hills and holes in the microlensing light curve due to plasma environment around gravitational lens
• Kerr-Newman-Jacobi geometry and the deflection of charged massive particles
• Deriving Weak Deflection Angle by Black Holes or Wormholes using Gauss-Bonnet Theorem
• Light bending by a slowly rotating source in quadratic theories of gravity
• Light deflection by squashed Kaluza-Klein black holes in a plasma medium
• Effect of Particle Spin on Trajectory Deflection and Gravitational Lensing
• Kerr-Newman black hole lensing of relativistic massive particles in the weak field limit
• Light Deflection in Plasma in the Hartle-Thorne Metric and in Other Axisymmetric Spacetimes with a Quadrupole Moment