The Relevance of the Cosmological Constant for Lensing

Abstract

This review surveys some recent developments concerning the effect of the cosmological constant on the bending of light by a spherical mass in Kottler (Schwarzchild-de Sitter) spacetime. Some proposals of how such an effect may be put into a setting of gravitational lensing in cosmology are also discussed. The picture that emerges from this review is that it seems fair to assert that the contribution of $\Lambda$ to the bending of light has by now been well established, while putting the $\Lambda$ light-bending terms into a cosmological context is still subject to some interpretation and requires further work and clarification.

Invited review article to appear in the GRG special issue on gravitational lensing (P. Jetzer, Y. Mellier and V. Perlick Eds.), 21 pages, 2 figures

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• The Vacuole Model: New Terms in the Second Order Deflection of Light
• On the relationship between mean observations, spatial averages and the Dyer-Roeder approximation in Einstein-Straus models
• Conformal gravity does not predict flat galaxy rotation curves
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• Critique of the use of geodesics in astrophysics and cosmology
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• Galaxy cluster hydrostatic bias in Kottler spacetime
• Electrodynamics in curved spacetime: Gravitationally-induced constitutive equations and the spacetime index of refraction