On bending angles by gravitational lenses in motion

Abstract

The bending of lightrays by the gravitational field of a ``lens'' that is moving relative to the observer is calculated within the approximation of weak fields, small angles and thin lenses. Up to first order in $v/c$ -- and assuming the acceleration to be much smaller than $v/c$ -- the bending angle, time delay and redshift of the images are found to be affected by the component of the speed of the deflector along the line of sight. The correction takes the form of an overall factor of $1+v/c$ accompanying the mass of the deflector, leading to an indeterminacy of the order of $v/c$ in the mass of the lens inferred on the basis of the separation of multiple images. The consequent correction to the microlensing lightcurve is pointed out, as well as scenarios where the correction is potentially relevant.

arXiv comment6 pages, to appear in MNRAS

References in corpus (8)

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• Null Geodesics in Perturbed Spacetimes
• Higher Order Corrections in Gravitational Microlensing
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Cited by in corpus (12)

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• Observing Cosmological Processes in Real Time with Repeating Fast Radio Bursts
• Roto-translational Effects on Deflection of Light and Particle by Moving Kerr Black Hole
• Aberration by gravitational lenses in motion
• On gravitational lensing by deflectors in motion
• Gravitational lens optical scalars in terms of energy-momentum distributions in the cosmological framework
• Velocity Effects on the Deflection of Light by Gravitational Microlenses
• Gravitational Wave detection through microlensing?
• Kinematic effect in gravitational lensing by clusters of galaxies
• On aberration in gravitational lensing
• General Relativistic Aberration Equation and Measurable Angle of Light Ray in Kerr Spacetime