Velocity Effects on the Deflection of Light by Gravitational Microlenses

Abstract

We study the influence of general lens and source velocities on the gravitational deflection of light by single and two-point-mass microlenses with general axis orientation. We demonstrate that in all cases the lens equation preserves its form exactly. However, its parameters -- the Einstein radius and the binary-lens separation -- are influenced by the lens velocity. In Galactic microlensing settings the velocity mainly affects the inferred separation for wide binary-star or star+planet microlenses oriented close to the line of sight. We briefly discuss the case of lenses moving with highly relativistic velocities.

arXiv comment13 pages with 2 figures; submitted to The Astrophysical Journal

References in corpus (10)

• A method for optimal image subtraction
• Gravitational Microlensing in the Local Group
• Lorentz Covariant Theory of Light Propagation in Gravitational Fields of Arbitrary-Moving Bodies
• Astrometric Observation of MACHO Gravitational Microlensing
• Binary Microlensing Events from the MACHO Project
• Null Geodesics in Perturbed Spacetimes
• Deflection of light and particles by moving gravitational lenses
• Light Propagation in the Gravitational Field of Moving Bodies by means of Lorentz Transformation. I. Mass monopoles moving with constant velocities
• On bending angles by gravitational lenses in motion
• On the Astrometric Behavior of Binary Microlensing Events

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• Analytical Derivation of Second-Order Deflection in Equatorial Plane of a Radially Moving Kerr-Newman Black Hole
• Second-order time delay by a radially moving Kerr-Newman black hole
• Leading-order deflection of particles by a moving Schwarzschild lens with a two-dimensional velocity
• On aberration in gravitational lensing
• The Frequency-Shift in the Gravitational Microlensing
• 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
• Leading-order gravitational time delay of massive particles by a moving Schwarzschild lens