A note on the effect of the cosmological constant on the bending of light

Abstract

We take another look at the equations behind the description of light bending in a Universe with a cosmological constant. We show that even within the impact parameter entering into the photon's differential equation, and which is defined here with exclusive reference to the beam of light as it bends around the central mass, lies the contribution of the cosmological constant. The latter is shown to enter in a novel way into the equation. When the latter is solved our approach implies, beyond the first two orders in the mass-term and the lowest-order in the cosmological constant, a slightly different expression for the bending angle from what is previously found in the literature.

7 pages, 1 figure. Typos corrected

References in corpus (3)

• The Contribution of the Cosmological Constant to the Relativistic Bending of Light Revisited
• Solar system effects in Schwarzschild--de Sitter spacetime
• The Relevance of the Cosmological Constant for Lensing

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• Effect of Accelerated Global Expansion on Bending of Light
• The optical geometry definition of the total deflection angle of a light ray in curved spacetime
• Linearized modified gravity theories with a cosmological term: advance of perihelion and deflection of light
• On the effect of the cosmological expansion on the gravitational lensing by a point mass
• Wave packet treatment of neutrino flavor oscillations in various spacetimes
• Cosmological applications of the Brown-York quasilocal mass
• General Relativistic Aberration Equation and Measurable Angle of Light Ray in Kerr--de Sitter Spacetime