Lensing in the McVittie metric

Abstract

We investigate the effect of the cosmological expansion on the bending of light due to an isolated point-like mass. We adopt McVittie metric as the model for the geometry of the lens. Assuming a constant Hubble factor we find an analytic expression involving the bending angle, which turns out to be unaffected by the cosmological expansion at the leading order.

arXiv commentCorrected a typographical error in Eq. (28). No results or conclusions are affected. Thanks to Gulmina Babar

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