Disentangling the Cosmic Web with Lagrangian Submanifold
Abstract
The Cosmic Web is a complicated highlyentangled 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 sixdimensional (6D) phase space. However, studies of the phase space is complicated by the fact that every projection of it on a threedimensional (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 Nbody 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.
 Publication:

The Zeldovich Universe: Genesis and Growth of the Cosmic Web
 Pub Date:
 October 2016
 DOI:
 10.1017/S1743921316009698
 Bibcode:
 2016IAUS..308..103S
 Keywords:

 voids;
 dark matter;
 Nbody simulations;
 excursion set;
 largescale structure