Gravitational lensing by eigenvalue distributions of random matrix models
Mathematical Physics
2018-03-12 v1 math.MP
Abstract
We propose to use eigenvalue densities of unitary random matrix ensembles as mass distributions in gravitational lensing. The corresponding lens equations reduce to algebraic equations in the complex plane which can be treated analytically. We prove that these models can be applied to describe lensing by systems of edge-on galaxies. We illustrate our analysis with the Gaussian and the quartic unitary matrix ensembles.
Cite
@article{arxiv.1803.03424,
title = {Gravitational lensing by eigenvalue distributions of random matrix models},
author = {Luis Martínez Alonso and Elena Medina},
journal= {arXiv preprint arXiv:1803.03424},
year = {2018}
}
Comments
25 pages,11 figures