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Disentangling the Cosmic Web with Lagrangian Submanifold

Published online by Cambridge University Press:  12 October 2016

Sergei F. Shandarin  and
Mikhail V. Medvedev
Sergei F. Shandarin
Affiliation:
Department of Physics and Astronomy, University of Kansas, Lawrence, KS 66045
Mikhail V. Medvedev
Affiliation:
Department of Physics and Astronomy, University of Kansas, Lawrence, KS 66045
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Abstract

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The Cosmic Web is a complicated highly-entangled geometrical object. Remarkably it has formed from practically Gaussian initial conditions, which may be regarded as the simplest departure from exactly uniform universe in purely deterministic mapping. The full complexity of the web is revealed neither in configuration no velocity spaces considered separately. It can be fully appreciated only in six-dimensional (6D) phase space. However, studies of the phase space is complicated by the fact that every projection of it on a three-dimensional (3D) space is multivalued and contained caustics. In addition phase space is not a metric space that complicates studies of geometry. We suggest to use Lagrangian submanifold i.e., x = x(q), where both x and q are 3D vectors instead of the phase space for studies the complexity of cosmic web in cosmological N-body dark matter simulations. Being fully equivalent in dynamical sense to the phase space it has an advantage of being a single valued and also metric space.

Keywords

voidsdark matterN-body simulationsexcursion setlarge-scale structure
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. 103 - 106
Copyright
Copyright © International Astronomical Union 2016 

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