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Statistics of Caustics in Large-Scale Structure Formation

Published online by Cambridge University Press:  12 October 2016

Job L. Feldbrugge ,
Johan Hidding  and
Rien van de Weygaert
Job L. Feldbrugge
Affiliation:
Kapteyn Instituut, University of Groningen, Postbus 800, NL-9700AD, Groningen, the Netherlands email: [email protected]
Johan Hidding
Affiliation:
Kapteyn Instituut, University of Groningen, Postbus 800, NL-9700AD, Groningen, the Netherlands email: [email protected]
Rien van de Weygaert
Affiliation:
Kapteyn Instituut, University of Groningen, Postbus 800, NL-9700AD, Groningen, the Netherlands email: [email protected]
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Abstract

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The cosmic web is a complex spatial pattern of walls, filaments, cluster nodes and underdense void regions. It emerged through gravitational amplification from the Gaussian primordial density field. Here we infer analytical expressions for the spatial statistics of caustics in the evolving large-scale mass distribution. In our analysis, following the quasi-linear Zel'dovich formalism and confined to the 1D and 2D situation, we compute number density and correlation properties of caustics in cosmic density fields that evolve from Gaussian primordial conditions. The analysis can be straightforwardly extended to the 3D situation. We moreover, are currently extending the approach to the non-linear regime of structure formation by including higher order Lagrangian approximations and Lagrangian effective field theory.

Keywords

Cosmologylarge-scale structureZel'dovich approximationcatastrophe theorycaustics
Type
Contributed Papers
Information
Proceedings of the International Astronomical Union , Volume 11 , Symposium S308: The Zeldovich Universe: Genesis and Growth of the Cosmic Web , June 2014 , pp. 107 - 114
Copyright
Copyright © International Astronomical Union 2016 

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