Math @ Duke

Publications [#243986] of Arlie O. Petters
Papers Published
 Petters, AO, Morse theory and gravitational microlensing,
Journal of Mathematical Physics, vol. 33 no. 5
(1992),
pp. 19151931, ISSN 00222488
(last updated on 2018/08/18)
Abstract: Morse theory is used to rigorously obtain counting formulas and lower bounds for the total number of images of a background point source, not on a caustic, undergoing lensing by a singleplane microlens system having compact bodies plus either subcritical or supercritical continuously distributed matter. An imagecounting formula is also found for the case when external shear is added. In addition, it is proven that a microlens system consisting of k lens planes will generate N = 2M + Πi=1k(1  gi) images of a background point source not on a caustic, where M is the total number of critical points of odd index of the timedelay map and gi is the number of stars on the ith lens plane. Morse theoretic tools also yield that the smallest value N can have is Πi=1k(1 + gi). © 1992 American Institute of Physics.


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