Spatial dispersion of light rays propagating through a plasma in Kerr spacetime

Abstract

We investigate the propagation of light through a plasma on a background Kerr spacetime via a Hamiltonian formulation. The behaviour of light when propagating through a vacuum and through a plasma is not the same; the convolution of gravitational and plasma effects gives rise to a dispersion in both space and time. The magnitude of the dispersion is a strong function of both the ray frequency and impact parameter. We discuss implications for the detection of gravitationally bent pulsar beams near the Galactic centre.

arXiv comment9 pages, 6 figures. Accepted for publication in MNRAS

References in corpus (51)

• A Fundamental Relation Between Supermassive Black Holes and Their Host Galaxies
• The Confrontation between General Relativity and Experiment
• Monitoring stellar orbits around the Massive Black Hole in the Galactic Center
• Towards a unified model for black hole X-ray binary jets
• The Co-Evolution of Galaxies and Supermassive Black Holes: Insights from Surveys of the Contemporary Universe
• A strong magnetic field around the supermassive black hole at the centre of the Galaxy
• The role of black holes in galaxy formation and evolution
• Jets from black hole X-ray binaries: testing, refining and extending empirical models for the coupling to X-rays
• Radiative Models of Sgr A* from GRMHD Simulations
• Observational evidence for intermediate-mass black holes
• Optical properties of black hole in the presence of plasma: shadow
• A 20 Thousand Solar Mass Black Hole in the Stellar Cluster G1
• Black Hole Based Tests of General Relativity
• Testing Properties of the Galactic Center Black Hole Using Stellar Orbits
• Light propagation in a plasma on Kerr spacetime: Separation of the Hamilton-Jacobi equation and calculation of the shadow
• Strong-Field Tests of Gravity Using Pulsars and Black Holes
• Prospects for Probing the Spacetime of Sgr A* with Pulsars
• Imaging Bright Spots in the Accretion Flow Near the Black Hole Horizon of Sgr A*
• Evidence for Low Black Hole Spin and Physically Motivated Accretion Models from Millimeter VLBI Observations of Sagittarius A*
• A Quantitative Test of the No-Hair Theorem with Sgr A* using stars, pulsars, and the Event Horizon Telescope
• Kretschmann Scalar for a Kerr-Newman Black Hole
• General relativistic radiative transfer: formulation and emission from structured tori around black holes
• An Overabundance of Black Hole X-Ray Binaries in the Galactic Center from Tidal Captures
• Pulse Broadening Measurements from the Galactic Center Pulsar J1745--2900
• A High-Frequency Search for Pulsars Within the Central Parsec of SgrA*
• Radiation Transfer of Emission Lines in Curved Space-Time
• The Peculiar Pulsar Population of the Central Parsec
• Pulsar-black hole binaries: prospects for new gravity tests with future radio telescopes
• Revisiting the shadow of a black hole in the presence of a plasma
• The Proper Motion of the Galactic Center Pulsar Relative to Sagittarius A*
• Measuring spin of a supermassive black hole at the Galactic centre -- Implications for a unique spin
• Odyssey: A Public GPU-Based Code for General-Relativistic Radiative Transfer in Kerr Spacetime
• Pulsar-Black Hole Binaries in the Galactic Center
• Gravitational lensing for a boosted Kerr black hole in the presence of plasma
• The Galactic centre pulsar population
• On Detecting Millisecond Pulsars at the Galactic Center
• Detecting pulsars in the Galactic centre
• The Building Up of the Black Hole Mass - Stellar Mass Relation
• Spin and mass of the nearest supermassive black hole
• Effects of Homogeneous Plasma on Strong Gravitational Lensing of Kerr Black Holes
• The Influence of Gas Dynamics on Measuring the Properties of the Black Hole in the Center of the Milky Way with Stellar Orbits and Pulsars
• Line emission from optically thick relativistic accretion tori
• Dark matter concentrations in galactic nuclei according to polytropic models
• Strong field effects on pulsar arrival times: general orientations
• Strong field effects on pulsar arrival times: circular orbits and equatorial beams
• Carter's constant revealed
• Correcting for Interstellar Scattering Delay in High-precision Pulsar Timing: Simulation Results
• Shining Light on Quantum Gravity with Pulsar-Black Hole Binaries
• Detection of pulsar beams deflected by the black hole in Sgr A*: effects of black hole spin
• Intermediate-Mass Black Holes in Globular Cluster Systems
• Observability of pulsar beam bending by the Sgr~A* black hole

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