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Gravitational lensing by eigenvalue distributions of random matrix models

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Martínez Alonso, Luis and Medina, Elena (2018) Gravitational lensing by eigenvalue distributions of random matrix models. Classical and quantum gravity, 35 (9). ISSN 0264-9381

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Official URL: http://dx.doi.org/10.1088/1361-6382/aab4c9


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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.


Item Type:Article
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© IOP Publishing Ltd
We wish to thank G. Álvarez for his help and many useful conversations. The financial support of the Spanish Ministerio de Economía y Competitividad under Project No. FIS2015-63966-P is also gratefully acknowledged.

Uncontrolled Keywords:Limit
Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Physics > Mathematical physics
ID Code:47572
Deposited On:18 May 2018 14:59
Last Modified:10 Dec 2018 15:09

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