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We study evolution of voids in cosmological simulations using a new method for tracing voids over cosmic time. The method is based on tracking watershed basins (contiguous regions around density minima) of well developed voids at low…

Cosmology and Nongalactic Astrophysics · Physics 2017-06-28 Radosław Wojtak , Devon Powell , Tom Abel

We apply the adhesion approximation to study the formation and evolution of voids in the Universe. Our simulations -- carried out using 128$^3$ particles in a cubical box with side 128 Mpc -- indicate that the void spectrum evolves with…

Astrophysics · Physics 2009-10-22 Varun Sahni , B. S. Sathyaprakash , Sergei F. Shandarin

Cosmic voids, the large underdense regions of our Universe, have emerged over the past decade as powerful cosmological laboratories: their simple dynamics, sensitivity to local gravitational effects and cosmic expansion, and ability to span…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-22 Sofia Contarini , Giovanni Verza , Alice Pisani

In these lecture notes I review the theory of the non--linear evolution of cosmological perturbations in a self--gravitating collisionless medium, with vanishing vorticity. The problem is first analyzed in the context of the Newtonian…

Astrophysics · Physics 2015-06-24 Sabino Matarrese

We present a novel method for simulation of the interior of large cosmic voids, suitable for study of the formation and evolution of objects lying within such regions. Following Birkhoff's theorem, void regions dynamically evolve as…

Astrophysics · Physics 2009-11-10 David M. Goldberg , Michael S. Vogeley

Cosmic voids provide a powerful probe of the origin and evolution of structures in the Universe because their dynamics can remain near-linear to the present day. As a result they have the potential to connect large scale structure at late…

Cosmology and Nongalactic Astrophysics · Physics 2020-11-26 Stephen Stopyra , Hiranya V. Peiris , Andrew Pontzen

The dynamical equations describing the evolution of a self-gravitating fluid of cold dark matter (CDM) can be written in the form of a Schrodinger equation coupled to a Poisson equation describing Newtonian gravity. It has recently been…

Astrophysics · Physics 2009-11-11 C. J. Short , P. Coles

The Schr\"odinger-Poisson formalism has found a number of applications in cosmology, particularly in describing the growth by gravitational instability of large-scale structure in a universe dominated by ultra-light scalar particles. Here…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-15 Peter Coles , Aoibhinn Gallagher

The dynamical equations describing the evolution of a self-gravitating fluid can be rewritten in the form of a Schrodinger equation coupled to a Poisson equation determining the gravitational potential. This wave-mechanical representation…

Astrophysics · Physics 2009-11-07 Peter Coles , Kate Spencer

We utilize the Magneticum suite of hydrodynamical simulations to investigate the formation and evolution of cosmic voids from $z = 5.04$ to present day, using cold dark matter and (sub-) halo tracers in high-density samples. This includes…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-10 Nico Schuster , Nico Hamaus , Alice Pisani , Klaus Dolag , Jochen Weller

Cosmic voids are promising cosmological laboratories for studying the dark energy phenomenon and alternative gravity theories. They are receiving special attention nowadays in view of the new generation of galaxy spectroscopic surveys,…

Cosmology and Nongalactic Astrophysics · Physics 2022-11-01 Carlos Mauricio Correa

Understanding the internal structure and spatial distribution of cosmic voids is crucial when considering them as probes of cosmology. We present recent advances in modeling void density- and velocity-profiles in real space, as well as void…

Cosmology and Nongalactic Astrophysics · Physics 2014-09-29 Nico Hamaus , P. M. Sutter , Benjamin D. Wandelt

We investigate the structural, photometric, and dynamical evolution of cosmic voids and their galaxy populations from $z=2.09$ to the present, focusing on void size as a key evolutionary parameter. Using void catalogs from four Millennium…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-28 Saeed Tavasoli

Cosmic voids are low-mass-density regions on intergalactic scales. They are where cosmic expansion and acceleration are most dominant, important places to understand and analyze for cosmology. This entry summarises theoretical underpinnings…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-01 Yan-Chuan Cai , Mark Neyrinck

Cosmic voids have emerged as powerful probes for cosmology, providing complementary information on the large-scale structure of the universe. We present the first application of a hydrodynamical framework to model the evolution of cosmic…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-23 Tommaso Moretti , Giovanni Verza , Noemi Frusciante , Francesco Pace

With the motivation in mind to evaluate the contribution of the cosmological constant $\Lambda$ on the foam like patterns formation process in the distribution of galaxies, we investigate the Newtonian dynamics of a spherical void embedded…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Roland Triay , Henri-Hugues Fliche

We consider a Klein-Gordon-Wave system, describing the evolution of a massive field and a massless one interacting through a Yukawa-like coupling, and we explicitly derive its Hamiltonian normal form to first and second order. To the…

Mathematical Physics · Physics 2026-01-08 Gaia Marangon , Antonio Ponno , Lorenzo Zanelli

Cosmological simulations describing the evolution of density perturbations of a self-gravitating collisionless Dark Matter (DM) fluid in an expanding background, provide a powerful tool to follow the formation of cosmic structures over wide…

Quantum Physics · Physics 2024-01-29 Luca Cappelli , Francesco Tacchino , Giuseppe Murante , Stefano Borgani , Ivano Tavernelli

We investigate the dynamics of a cosmological dark matter fluid in the Schr\"odinger formulation, seeking to evaluate the approach as a potential tool for theorists. We find simple wave-mechanical solutions of the equations for the…

Cosmology and Nongalactic Astrophysics · Physics 2009-04-06 Rebecca Johnston , A. N. Lasenby , M. P. Hobson

We show that the cosmological constant favours significantly the growth of voids in the universe. This dynamical effect is investigated within a newtonian approach with an extension to Friedmann-Lema\^{\i}tre model.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Roland Triay , Henri-Hugues Fliche
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