Higher order corrections to deflection angle of massive particles and light rays in plasma media for stationary spacetimes using the Gauss-Bonnet theorem
arXiv:1910.02030 · doi:10.1103/PhysRevD.100.104045
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
References in corpus (21)
- First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
- First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole
- First M87 Event Horizon Telescope Results. IV. Imaging the Central Supermassive Black Hole
- First M87 Event Horizon Telescope Results. V. Physical Origin of the Asymmetric Ring
- First M87 Event Horizon Telescope Results. II. Array and Instrumentation
- First M87 Event Horizon Telescope Results. III. Data Processing and Calibration
- Applications of the Gauss-Bonnet theorem to gravitational lensing
- Gravitational Lensing by Rotating Wormholes
- Frequency-dependent effects of gravitational lensing within plasma
- Gravitational Lensing in presence of Plasma: Strong Lens Systems, Black Hole Lensing and Shadow
- Gravitational lensing in a non-uniform plasma
- Two families of astrophysical diverging lens models
- Gravitational radiospectrometer
- Influence of a plasma on the observational signature of a high-spin Kerr black hole
- Escape and Trapping of Low-Frequency Gravitationally Lensed Rays by Compact Objects within Plasma
- Unbound motion of massive particles in the Schwarzschild metric: Analytical description in case of strong deflection
- Gravitational Lensing of Rays through the Levitating Atmospheres of Compact Objects
- Gravitational lens optical scalars in terms of energy-momentum distributions
- Spatial dispersion of light rays propagating through a plasma in Kerr spacetime
- Deflection angle of charged massive particles in slowly rotating Kerr-Newman space-times via Gauss-Bonnet theorem and Hamilton-Jacobi method
- Strong and Weak Deflection of Light in the Equatorial Plane of a Kerr Black Hole
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- Calculating black hole shadows: Review of analytical studies
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- 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
- Analytical study of higher-order ring images of accretion disk around black hole
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- Rotating Black Holes in Horndeski Gravity: Thermodynamic and Gravitational Lensing
- Deflection of light rays by spherically symmetric black hole in dispersive medium
- Gravitational lens without asymptotic flatness: Its application to the Weyl gravity
- Kerr black hole surrounded by a cloud of strings and its weak gravitational lensing in Rastall gravity
- Gravitational Lensing of Schwarzschild and Charged Black Holes Immersed in Perfect Fluid Dark Matter Halo
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- Strong deflection limit analysis of black hole lensing in inhomogeneous plasma
- The perturbative approach for the weak deflection angle
- Kerr-Newman-Jacobi geometry and the deflection of charged massive particles
- Effect of magnetized plasma on shadow and gravitational lensing of a Reissner-Nordström black hole
- Shadows of rotating black holes in plasma environments with aberration effects
- Gravitational lensing of massive particles by a black-bounce-Schwarzschild black hole
- Deriving Weak Deflection Angle by Black Holes or Wormholes using Gauss-Bonnet Theorem
- Generalized Gibbons-Werner method for stationary spacetimes
- Finite-distance gravitational deflection of massive particles by a rotating black hole in loop quantum gravity
- Strong deflection of massive particles in spherically symmetric spacetimes
- Light bending by a slowly rotating source in quadratic theories of gravity
- Deflection angle, quasinormal modes and optical properties of a de Sitter black hole in gravity
- Thermodynamics, Weak Gravitational Lensing, and Parameter Estimation of a Schwarzschild Black Hole Immersed in Hernquist Dark Matter Halo
- Light deflection by squashed Kaluza-Klein black holes in a plasma medium
- Effect of Particle Spin on Trajectory Deflection and Gravitational Lensing
- Analytical expressions for pulse profile of neutron stars in plasma environments
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- Iterative solutions for the gravitational lens equation in the strong deflection limit
- Deflection angle with electromagnetic interaction and gravitational-electromagnetic dual lensing
- Extending Gibbons-Werner method to bound orbits of massive particles
- Kerr-Newman black hole lensing of relativistic massive particles in the weak field limit
- Deflection of charged signals in a dipole magnetic field in Schwarzschild background using Gauss-Bonnet theorem
- Gravitational Lensing of Spherically Symmetric Black Holes in Dark Matter Halos
- Gravitational lens on de-Sitter background
- Weak gravitational lensing by an ESTGB black hole in the presence of a plasma
- Perturbative and numerical approach to plasma strong lensing
- Perturbative deflection angles of timelike rays
- Light Deflection in Plasma in the Hartle-Thorne Metric and in Other Axisymmetric Spacetimes with a Quadrupole Moment
- Deflection of light rays in a moving medium around a spherically symmetric gravitating object
- Gauss-Bonnet lensing of spinning massive particles in static spherically symmetric spacetimes
- Deflection of charged massive particles by a four-dimensional charged Einstein-Gauss-Bonnet black hole
- Off-equatorial deflections and gravitational lensing. II. In general stationary and axisymmetric spacetimes
- Deciphering signatures of Kerr-Sen black holes in presence of plasma from the Event Horizon Telescope data
- Light deflection in axially symmetric stationary spacetimes filled with a moving medium
- Investigating Graviton Mass Effects on Black Hole Lensing in dRGT Massive Gravity
- Investigating the interplay of the braneworld gravity and the plasma environment on the black hole shadow
- Strong field gravitational lensing of particles by a black-bounce-Schwarzschild black hole
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- The influence of cosmological constant on light deflection in rotating spacetimes via the generalized Gibbons-Werner method