Roto-translational Effects on Deflection of Light and Particle by Moving Kerr Black Hole

Abstract

Velocity effects in first-order Schwarzschild deflection of light and particles have been explored in the previous literature. In this paper, we investigate the roto-translational-motion induced deflection by one moving Kerr black hole with an arbitrary but constant speed. It is shown that the coupling between the effects of the rotation and the translational motion always exists for both light and particles. The contribution of the roto-translational deflection to the total bending angle is discussed in detail. This ratio takes upper limit for light and it decreases monotonically with increasing translational velocity for a massive particle. For a given translational velocity of black hole, this ratio increases with the particle' velocity. In addition, the Post-Newtonian dynamics of the photon and particle is also presented.

References in corpus (5)

• Massive black hole binary mergers within sub-pc scale gas discs
• Analytical Kerr black hole lensing in the weak deflection limit
• Deflection of light and particles by moving gravitational lenses
• Gravimagnetic effect of the barycentric motion of the Sun and determination of the post-Newtonian parameter gamma in the Cassini experiment
• Kinematic effect in gravitational lensing by clusters of galaxies

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• Gravitational lensing of massive particles by a black-bounce-Schwarzschild black hole
• Second Post-Minkowskian Metric for a Moving Kerr Black Hole
• Leading-order deflection of particles by a moving Schwarzschild lens with a two-dimensional velocity
• Exact Harmonic Metric for a Moving Reissner-Nordström Black Hole
• Kerr-Schild Form of the Exact Metric for a Constantly Moving Kerr Black Hole and Null Gravitational Deflection
• Gravitational deflection of light in polar-axis plane of a moving Kerr-Newman black hole
• Strong field gravitational lensing of particles by a black-bounce-Schwarzschild black hole