Mathematics – Logic
Scientific paper
Jun 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010aipc.1241..277s&link_type=abstract
INVISIBLE UNIVERSE: Proceedings of the Conference. AIP Conference Proceedings, Volume 1241, pp. 277-286 (2010).
Mathematics
Logic
Cosmology, Interferometry, Galactic Centre, Gravitational Lenses, Observational Cosmology, Interferometry, Galactic Center, Bar, Circumnuclear Matter, And Bulge, Photography And Photometry
Scientific paper
The cosmological constant Λ affects gravitational lensing phenomena. Related effect can be studied in the framework of the Schwarzschild-de Sitter space-time in the weak deflection limit. The main contribution of Λ can be accounted for by a proper use of angular diameter distances. For near lenses and static observers, unresolved images are slightly de-magnified, the radius of the Einstein ring decreases and the time delay increases. The effect is however negligible. Two novel contributions, which show up in a cosmological context, are also discussed. First, a term δα‸ = 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, δα‸Λ<~0.1 μarcsec and Δzs<~10-7.
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