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I review the basic ``gravitational instability'' model for the growth of structure in the expanding Universe. This model requires the existence of small initial irregularities in the density of a largely uniform universe. These grow through…

天体物理学 · 物理学 2007-05-23 Peter Coles

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…

天体物理学 · 物理学 2009-11-07 Peter Coles , Kate Spencer

In this paper, we study the dynamical irregularity of the locally anisotropic spherical fluids in the context of Einstein-Gauss-Bonnet theory. We aim to describe the causes of energy-density irregularity of self-gravitating fluids and…

广义相对论与量子宇宙学 · 物理学 2025-09-03 Z. Yousaf , Kazuharu Bamba , Mansoor Alshehri , A. Farhat

We consider the gravitational clustering of a multicomponent fluid in an expanding Newtonian universe, taking into account the mutual gravitational interactions of the medium. We obtain a set of exact and approximate solutions for two fluid…

天体物理学 · 物理学 2026-02-19 D. Fargion

In the framework of the theory of scale relativity, we suggest a solution to the cosmological problem of the formation and evolution of gravitational structures on many scales. This approach is based on the giving up of the hypothesis of…

天体物理学 · 物理学 2015-06-24 Daniel da Rocha , Laurent Nottale

We propose a cosmological model which could explain, in a very natural way, the apparently periodic structures of the universe, as revealed in a series of recent observations. Our point of view is to reduce the cosmological…

广义相对论与量子宇宙学 · 物理学 2009-10-31 S. Capozziello , A. Feoli , G. Lambiase

The stability of the de Sitter era of cosmic expansion in spatially curved homogeneous isotropic universes is studied. The source of the gravitational field is an imperfect fluid such that the parameters that characterize it may change with…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Luis P. Chimento , Alejandro S. Jakubi , Diego Pavon

We study a spherical, self-gravitating fluid model, which finds applications in cosmic structure formation. We argue that since the system features nonlinearity and gravity-induced dispersion, the emergence of solitons becomes possible. We…

斑图形成与孤子 · 物理学 2024-02-21 G. N. Koutsokostas , S. Sypsas , O. Evnin , T. P. Horikis , D. J. Frantzeskakis

The full set of equations governing the structure and the evolution of self--gravitating spherically symmetric dissipative fluids with anisotropic stresses, is written down in terms of five scalar quantities obtained from the orthogonal…

广义相对论与量子宇宙学 · 物理学 2011-07-19 L. Herrera , J. Ospino , A. Di Prisco , E. Fuenmayor , O. Troconis

A kinetic and hydrodynamic descriptions are developed in order to analyze the instabilities of a granular gas in the presence of a gravitational field. In the kinetic description the Boltzmann equation is coupled with the Poisson equation,…

统计力学 · 物理学 2019-11-26 Gilberto Medeiros Kremer

Intermittent high-amplitude structures emerge in a damped and driven discrete nonlinear Schroedinger equation whose solutions transport both energy and particles from sources to sinks. These coherent structures are necessary for any…

混沌动力学 · 物理学 2007-05-23 Benno Rumpf Alan C. Newell

I present the theoretical evidence which suggests that gravity is an emergent phenomenon like gas dynamics or elasticity with the gravitational field equations having the same status as, say, the equations of fluid dynamics/elasticity. This…

广义相对论与量子宇宙学 · 物理学 2011-07-13 T. Padmanabhan

In this paper we develop two models for the steady states and evolution of two dimensional isothermal self gravitating and rotating incompressible gas which are based on the hydrodynamic equations for stratified fluid. The first model is…

地球与行星天体物理 · 物理学 2015-04-14 Mayer Humi , Zilu Tian

We consider the gravitational potential and the gravitational rotation field generated by an spherical mass distribution with exponential density, when the force between any two mass elements is not the usual Newtonian one, but some general…

天体物理学 · 物理学 2007-05-23 Carlos Rodrigo-Blanco

The dynamics of cosmological gravitating system is governed by the Euler and the Poisson equations. Tiny fluctuations near the big bang singularity are amplified by gravitational instability into the observed structure today. Given the…

天体物理学 · 物理学 2008-11-26 Adi Nusser

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…

宇宙学与河外天体物理 · 物理学 2025-07-15 Peter Coles , Aoibhinn Gallagher

Based on the assumption that the standard Schr\"odinger equation becomes gravitationally modified for massive macroscopic objects, two independent proposals has survived from the nineteen-eighties. The Schr\"odinger--Newton equation (1984)…

量子物理 · 物理学 2024-10-23 Lajos Diósi

Various origins of linear and nonlinear Schrodinger equations are discussed in connection with diffusion, hydrodynamics, and fractal structure. The treatment is mainly expository, emphasizing the quantum potential, with a few new…

量子物理 · 物理学 2007-05-23 Robert Carroll

We discuss the appearance of time-asymmetric behavior in physical processes in cosmology and in the dynamics of the Universe itself. We begin with an analysis of the nature and origin of irreversibility in well-known physical processes such…

广义相对论与量子宇宙学 · 物理学 2007-05-23 B. L. Hu
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