An analytically soluble problem in fully nonlinear statistical gravitational lensing

Details An analytically soluble problem in fully nonlinear statistical gravitational lensing An analytically soluble problem in fully nonlinear statistical gravitational lensing

Aug 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987apj...319....9s&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 319, Aug. 1, 1987, p. 9-13.

Statistics

Computation

37

Computational Astrophysics, Gravitational Lenses, Point Sources, Probability Density Functions, Star Distribution, Density Distribution, Mass Distribution, Nonlinear Systems, Statistical Analysis

Scientific paper

The amplification probability distribution p(I)dI for a point source behind a random star field which acts as the deflector exhibits a I exp-3 behavior for large amplification, as can be shown from the universality of the lens equation near critical lines. In this paper it is shown that the amplitude of the I exp-3 tail can be derived exactly for arbitrary mass distribution of the stars, surface mass density of stars and smoothly distributed matter, and large-scale shear. This is then compared with the corresponding linear result.

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