Mathematics of Gravitational Lensing: Multiple Imaging and Magnification

Details Mathematics of Gravitational Lensing: Multiple Imaging and Magnification Mathematics of Gravitational Lensing: Multiple Imaging and Magnification

2009-12-02

arxiv.org/abs/0912.0490v1

Astronomy and Astrophysics

Astrophysics

Galaxy Astrophysics

25 pages, 4 figures. Invited review submitted for special issue of General Relativity and Gravitation

Scientific paper

The mathematical theory of gravitational lensing has revealed many generic and global properties. Beginning with multiple imaging, we review Morse-theoretic image counting formulas and lower bound results, and complex-algebraic upper bounds in the case of single and multiple lens planes. We discuss recent advances in the mathematics of stochastic lensing, discussing a general formula for the global expected number of minimum lensed images as well as asymptotic formulas for the probability densities of the microlensing random time delay functions, random lensing maps, and random shear, and an asymptotic expression for the global expected number of micro-minima. Multiple imaging in optical geometry and a spacetime setting are treated. We review global magnification relation results for model-dependent scenarios and cover recent developments on universal local magnification relations for higher order caustics.

Affiliated with

Also associated with

No associations

Rating

Mathematics of Gravitational Lensing: Multiple Imaging and Magnification does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Mathematics of Gravitational Lensing: Multiple Imaging and Magnification, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Mathematics of Gravitational Lensing: Multiple Imaging and Magnification will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-510231