@unpublished{Hu:2022, author = {Hu, L and Heavens, A and Bacon, D}, publisher = {ArXiv}, title = {Light bending by the cosmological constant}, url = {http://arxiv.org/abs/2109.09785v2}, year = {2022} }
TY - UNPB AB - We revisit the question of whether the cosmological constant $\Lambda$affects the cosmological gravitational bending of light, by numericalintegration of the geodesic equations for a Swiss cheese model consisting of apoint mass and a compensated vacuole, in a Friedmann-Robertson-Walkerbackground. We find that there is virtually no dependence of the light bendingon the cosmological constant that is not already accounted for in the angulardiameter distances of the standard lensing equations, plus small modificationsthat arise because the bending is restricted to a finite region covered by thehole. The residual $\Lambda$ dependence for a $10^{13}\,M_{\odot}$ lens is atthe level of 1 part in $10^7$, and even this might be accounted for by smallchanges in the hole size evolution as the photon crosses. We therefore concludethat there is no need for modification of the standard cosmological lensingequations in the presence of a cosmological constant. AU - Hu,L AU - Heavens,A AU - Bacon,D PB - ArXiv PY - 2022/// TI - Light bending by the cosmological constant UR - http://arxiv.org/abs/2109.09785v2 UR - http://hdl.handle.net/10044/1/93953 ER -