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Nonlinear gravitational instability is a crucial way to comprehend the clustering of matter and the formation of nonlinear structures in both the Universe and stellar systems. However, with the exception of a few exact particular solutions…

General Relativity and Quantum Cosmology · Physics 2023-07-10 Chao Liu

In this paper, we recall various features of non equilibrium granular systems. Clusters with specific properties are found depending on the packing density, going from loose (a granular gas) to sintered (though brittle) polycrystalline…

Materials Science · Physics 2009-09-29 M. Ausloos , R. Lambiotte , K. Trojan , Z. Koza , M. Pekala

: From the epoch of recombination $(z\approx 10^3)$ till today, the typical density contrasts have grown by a factor of about $10^6$ in a Friedmann universe with $\Omega=1$. However, during the same epoch the typical gravitational potential…

General Relativity and Quantum Cosmology · Physics 2009-09-25 J. S. Bagla , T. Padmanabhan

The isothermal dynamical evolution of a clumpy and turbulent molecular cloud region and its fragmentation into a protostellar cluster is investigated numerically. The effect of different initial density and velocity distributions, generated…

Astrophysics · Physics 2008-11-26 Ralf S. Klessen , Andreas Burkert

We study the consequences of the $f(R/\Box)$ gravity models for the Solar system and the large scale structure of the universe. The spherically symmetric solutions can be used to obtain bounds on the constant and the linear parts of the…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Tomi S. Koivisto

The evolution of the perturbations in the energy density and the particle number density in a flat Friedmann-Lemaitre-Robertson-Walker universe in the radiation-dominated era and in the epoch after decoupling of matter and radiation is…

General Relativity and Quantum Cosmology · Physics 2021-03-09 P. G. Miedema

I review at the non-specialist level recent progress in the study of the large-scale structure of the Universe, covering the following areas: (1) Results from recently completed or ongoing redshift surveys of galaxies and X-ray clusters;…

Astrophysics · Physics 2015-06-24 L. Guzzo

While the concept of "clustering" primarily refers to galaxies, the fact is that galaxies can be neglected - at least in terms of mass - when considering the continuous competition between accretion and relaxation processes of dark matter…

Astrophysics · Physics 2007-05-23 M. Pierre

The self-gravitating gas in the Newtonian limit is studied in the presence of dark energy with a linear and constant equation of state. Entropy extremization associates to the isothermal Boltzmann distribution an effective density that…

Cosmology and Nongalactic Astrophysics · Physics 2014-04-15 Zacharias Roupas , Minos Axenides , George Georgiou , Emmanuel N. Saridakis

If the equation of state for "dark energy" varies periodically, the expansion of the Universe may have undergone alternating eras of acceleration and deceleration. We examine a specific form that survives existing observational tests, does…

Astrophysics · Physics 2008-11-26 Gabriela Barenboim , Olga Mena , Chris Quigg

Our observations of the Universe are fundamentally anisotropic, with data from galaxies separated transverse to the line of sight coming from the same epoch while that from galaxies separated parallel to the line of sight coming from…

Cosmology and Nongalactic Astrophysics · Physics 2014-03-26 Eric V. Linder , MinJi Oh , Teppei Okumura , Cristiano G. Sabiu , Yong-Seon Song

The cosmic web is the largest scale manifestation of the anisotropic gravitational collapse of matter. It represents the transitional stage between linear and non-linear structures and contains easily accessible information about the early…

Cosmology and Nongalactic Astrophysics · Physics 2014-06-02 Marius Cautun , Rien van de Weygaert , Bernard J. T. Jones , Carlos S. Frenk

We study cosmological perturbations in a universe with only one matter component described by a triplet of fields. Configuration of these fields is the same as for body coordinates of a solid, and they enter the matter Lagrangian only…

General Relativity and Quantum Cosmology · Physics 2023-08-15 Peter Mészáros

The evolution of occupied volume under progressive fragmentation of granular matter is studied using a purely geometric model. Rather than modelling disorder directly, properties are investigated by analysing highly ordered reference…

Soft Condensed Matter · Physics 2026-03-25 Malkhazi A. Meladze

Matter distribution around clusters is highly anisotropic from their being the nodes of the cosmic web. Clusters' shape and the number of filaments they are connected to, i.e., their connectivity, should reflect their level of anisotropic…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-14 C. Gouin , T. Bonnaire , N Aghanim

The problem of Turing pattern formation has attracted much attention in nonlinear science as well as physics, chemistry and biology. So far all Turing patterns have been observed in stationary and oscillatory media only. In this letter we…

Pattern Formation and Solitons · Physics 2007-05-23 Jinghua Xiao , Junzhong Yang , Gang Hu

Dark matter, proposed decades ago as a speculative component of the universe, is now known to be the vital ingredient in the cosmos, eight times more abundant than ordinary matter, one quarter of the total energy density and the component…

Astrophysics · Physics 2009-09-15 Jeremiah P. Ostriker , Paul J. Steinhardt

We determine the behaviour of a time-varying fine structure 'constant' $\alpha (t)$ during the early and late phases of universes dominated by the kinetic energy of changing $\alpha (t)$, radiation, dust, curvature, and lambda,…

Astrophysics · Physics 2008-11-26 J. D. Barrow , H. B. Sandvik , J. Magueijo

We analyse the formation of cosmic structures in models where the dark matter is dominated by light gravitinos with mass of $ 100$ eV -- 1 keV, as predicted by gauge-mediated supersymmetry (SUSY) breaking models. After evaluating the number…

Astrophysics · Physics 2016-08-15 Elena Pierpaoli , Stefano Borgani , Antonio Masiero , Masahiro Yamaguchi

We calculate the statistical clustering of Lyman-break galaxies predicted in a selection of currently-fashionable structure formation scenarios. These models are all based on the cold dark matter model, but vary in the amount of dark…

Astrophysics · Physics 2009-10-30 Peter Coles , Francesco Lucchin , Sabino Matarrese , Lauro Moscardini