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Weak gravitational lensing of distant galaxies
Kaiser, Nick
AA(Canadian Institute for Theoretical Astrophysics, Toronto, Canada)
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 388, April 1, 1992, p. 272-286. Research supported by NSERC and Canadian Institute for Advanced Research. (ApJ Homepage)
Publication Date:
NASA/STI Keywords:
Galactic Clusters, Galactic Structure, Gravitational Lenses, Mass Distribution, Power Spectra, Quasars, Spatial Distribution, Universe
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The two-point statistics of the gravitationally induced ellipticities of distant galaxy images which provide a direct probe of the mass fluctuation spectrum P(k) is analyzed. The relation between the ellipticity pattern of the background galaxies and the projected density of foreground matter is explored. This yields both useful statistical correlations and also an approximate method for directly imaging foreground mass concentrations. Angular power spectra are calculated using the analogue of Limber's equation in the Fourier domain, as well as angular correlation functions. It is found that there are some characteristic features of the ellipticity correlations that appear most clearly in the Fourier representation. The analysis is valid for arbitrary evolution of P(k) and for an arbitrary distance distribution for the galaxies. It is shown that the size of the effect on very large scales is tightly constrained by microwave anisotropy limits, but that the density fluctuations inferred from observed peculiar motions suggest interestingly large effects at angular scales below about a degree.

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