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Phys. Rev. Lett. 102, 021301 (2009) [4 pages]

Role of Λ in the Cosmological Lens Equation

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Mauro Sereno*
Institut für Theoretische Physik, Universität Zürich, Winterthurerstrasse 190, CH-8057 Zürich, Switzerland

Received 31 July 2008; published 14 January 2009

The cosmological constant Λ affects cosmological gravitational lensing. Effects due to Λ can be studied in the framework of the Schwarzschild–de Sitter spacetime. Two novel contributions, which cannot be accounted for by a proper use of angular diameter distances, are derived. First, a term δα̂Λ=2mbΛ/3 has to be added to the bending angle, where m is the lens mass and b the impact parameter. Second, Λ brings about a difference in the redshifts of multiple images. Both effects are quite small for real astrophysical systems, δα̂Λ≲1μarcsec and Δzs≲10-7.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.102.021301
DOI:
10.1103/PhysRevLett.102.021301
PACS:
98.62.Sb, 04.70.Bw, 95.36.+x

*sereno@physik.unizh.ch