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Disentangling the Cosmic Web with Lagrangian Submanifold

Published online by Cambridge University Press:  12 October 2016

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.

Type
Contributed Papers
Copyright
Copyright © International Astronomical Union 2016 

References

Abel, T., Hahn, O., & Kaehler, R., MNRAS 427, 61 (2012).Google Scholar
Ascasibar, Y. & Binney, J., MNRAS 356, 872 (2005).Google Scholar
Davis, M., Efstathiou, G., Frenk, C. S., & White, S. D. M., ApJ 292, 371 (1985).Google Scholar
Diemand, J., Moore, B., & Stadel, J., Nature 433, 389 (2005).Google Scholar
Ghigna, S. et al., MNRAS 300, 146 (1998).Google Scholar
Hoffmann, K. et al., MNRAS 442, 1197 (2014).Google Scholar
Knebe, A. et al., MNRAS 435, 1618 (2013).CrossRefGoogle Scholar
Neyrinck, M. C., MNRAS 427, 494 (2012).Google Scholar
Schaap, W. E. & van de Weygaert, R., A&A 363, L29 (2000).Google Scholar
Shandarin, S. F., Soviet Astronomy Letters 9, 104 (1983).Google Scholar
Shandarin, S. F., Habib, S., & Heitmann, K., Phys. Rev. D 385, 083005 (2012).Google Scholar
Shandarin, S. F. & Medvedev, M. V., submitted; ArXiv:1409.7634 (2014).Google Scholar
Springel, V., MNRAS 364, 1105 (2005).Google Scholar
Vogelsberger, M. & White, S. D. M., MNRAS 413, 1419 (2011).CrossRefGoogle Scholar