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We obtain the non-linear relation between cosmological density and velocity perturbations by examining their joint dynamics in a two dimensional density-velocity divergence phase space. We restrict to spatially flat cosmologies consisting…

Cosmology and Nongalactic Astrophysics · Physics 2013-01-08 Sharvari Nadkarni-Ghosh

Voids possess a very complex internal structure and dynamics. Using $N$-body simulations we study the hierarchical nature of sub-structures present in the cosmic web (CW). We use the SpineWeb method which provides a complete…

Astrophysics of Galaxies · Physics 2025-02-25 Mariana Jaber , Marius Peper , Wojciech A. Hellwing , Miguel Angel Aragon-Calvo , Octavio Valenzuela

This article presents a comprehensive and rigorous overview of spacetime singularities within the framework of classical General Relativity. Singularities are defined through the failure of geodesic completeness, reflecting the limits of…

General Relativity and Quantum Cosmology · Physics 2025-08-19 Jean-Pierre Luminet

We present a brief history of the construction of models of the universe, followed by calculations of quantitative characteristics of basic geometric and kinematic properties of the Standard Cosmological Model ($\Lambda$CDM). Using the…

General Relativity and Quantum Cosmology · Physics 2026-04-23 D. I. Nagirner , S. G. Jorstad , A. V. Dementyev

The large-scale structure of the Universe, as traced by the distribution of galaxies, is now being revealed by large-volume cosmological surveys. The structure is characterized by galaxies distributed along filaments, the filaments…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Sergei Shandarin , Salman Habib , Katrin Heitmann

This paper reviews selected aspects of the growth of cosmological structure, covering the following general areas: (1) expected characteristics of linear density perturbations according to various candidate theories for the origin of…

Astrophysics · Physics 2007-05-23 J. A. Peacock

The Large Scale Structure (LSS) in the galaxy distribution is investigated using the Sloan Digital Sky Survey Early Data Release (SDSS EDR). Using the Minimal Spanning Tree technique we have extracted sets of filaments, of wall-like…

Astrophysics · Physics 2009-11-07 A. Doroshkevich , D. L. Tucker , S. Allam

This year marks the 100th anniversary of the birth of Yakov Zel'dovich. Amongst his many legacies is the Zel'dovich approximation for the growth of large-scale structure, which remains one of the most successful and insightful analytic…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-18 Martin White

The Cosmic Web is a complex network of filaments, walls and voids that represent the largest structures in the Universe. In this network, which is the direct result of structure formation, galaxy clusters occupy central positions as the…

Cosmology and Nongalactic Astrophysics · Physics 2020-02-05 Nicola Malavasi , Nabila Aghanim , Hideki Tanimura , Victor Bonjean , Marian Douspis

In this work we propose a new general model of eternal cyclic Universe. We start from the assumption that quantum gravity corrections can be effectively accounted by the addition of higher order curvature terms in the Lagrangian density for…

General Relativity and Quantum Cosmology · Physics 2017-06-06 Petar Pavlovic , Marko Sossich

The potential of deep learning based image-to-image translations has recently drawn a lot of attention; one intriguing possibility is that of generating cosmological predictions with a drastic reduction in computational cost. Such an effort…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-13 Xiaofeng Dong , Nesar Ramachandra , Salman Habib , Katrin Heitmann , Michael Buehlmann , Sandeep Madireddy

The currently standard theory of cosmic structure formation posits that the present-day clumpy appearance of the universe developed through gravitational amplification of the matter density fluctuations that are generated in the very early…

Astrophysics · Physics 2008-11-26 Naoki Yoshida

The present day universe consists of galaxies, galaxy clusters, one-dimensional filaments and two-dimensional sheets or pancakes, all of which combine to form the cosmic web. The so called "Zeldovich pancakes", are very difficult to…

Cosmology and Nongalactic Astrophysics · Physics 2017-05-04 T. Brinckmann , M. Lindholmer , S. H. Hansen , M. Falco

We study the alignment of dark matter haloes with the cosmic web characterized by the tidal and velocity shear fields. We focus on the alignment of their shape, angular momentum and peculiar velocities. We use a cosmological N-body…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-19 Jaime E. Forero-Romero , Sergio Contreras , Nelson Padilla

The analysis of images (of obtained in various ranges of the lengths of waves) of luminous objects in the Universe by means of a method of multilevel dynamic contrasting led author to the conclusions: a) the structures of all observable…

Astrophysics · Physics 2015-05-13 V. A. Rantsev-Kartinov

Redshift-space distortions (RSD) in galaxy redshift surveys generally break both the isotropy and homogeneity of galaxy distribution. While the former aspect is particularly highlighted as a probe of growth of structure induced by gravity,…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-08 Atsushi Taruya , Shohei Saga , Michel-Andrès Breton , Yann Rasera , Tomohiro Fujita

We investigate analytically a large-scale coherence in the orientation of galaxies embedded in two-dimensional sheet-like structures in the frame of the tidal torque theory. Assuming that the galaxy spin and the surrounding matter fields…

Astrophysics · Physics 2009-11-10 Jounghun Lee

Observations of galaxy clusters (GC's) are a powerful tool to probe the evolution of the Universe at $z<2$. However, the determination of their real shape and structure is not completely understood and the assumption of asphericity is often…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-19 R. F. L. Holanda , J. S. Alcaniz

The cosmic vorticity field, an essential tracer of nonlinear structure formation, has remained observationally inaccessible because transverse galaxy motions are difficult to measure and analytic models struggle to capture shell-crossing.…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-17 Ziyong Wu , Xu Xiao , Fuyu Dong , Juhan Kim , Yan-Chuan Cai , Yang Wang , Xi Kang , Le Zhang , Xin Wang , Xiao-Dong Li

This article reviews the prevailing paradigm for how galaxies and larger structures formed in the universe: gravitational instability. Basic observational facts are summarized to motivate the standard cosmological framework underlying most…

Astrophysics · Physics 2009-10-22 Edmund Bertschinger