Book ChapterDOI
Voids in the expanding universe
Humitaka Sato
- Vol. 1, pp 289-312
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In this article, a relativistic relation between an infinitely thin shell and a void is derived for various models of the universe and the motion of a void in the closed universe is also discussed.Abstract:
Enlargement of a spherical void in the expanding universe is discussed. In a nonlinear regime of density perturbation, the low-density region or a void behaves like an explosive source and the dense thin shell is formed by this explosion of the void. Israel’s formalism for an infinitely thin shell is applied to derive a relativistic relation, which is analysed for various models of the universe. The motion of a void in the closed universe is also discussed.read more
Citations
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Inhomogeneous cosmological models: exact solutions and their applications
TL;DR: In this article, the importance of an inhomogeneous framework in the analysis of cosmological observations is discussed and a review of the recent developments in the field is presented, which shows that inhomogeneities are not an alternative to the FLRW models, but an exact perturbation of the latter.
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Formation of voids in the Universe within the Lemaître–Tolman model
TL;DR: In this paper, the authors developed models of void formation starting from a small initial fluctuation at recombination and growing to a realistic present-day density profile in agreement with observations of voids.
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The similarity hypothesis in general relativity
Bernard Carr,Alan Coley +1 more
TL;DR: In this paper, the authors discuss the "similarity hypothesis" which asserts that under a variety of physical circumstances solutions of these theories will naturally evolve to a self-similar form, and find that there is good evidence for this in the context of both spatially homogenous and inhomogeneous cosmological models, although in some cases the selfsimilar model is only an intermediate attractor.
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Clumps into Voids
Nazeem Mustapha,Charles Hellaby +1 more
TL;DR: In this paper, the authors consider a spherically symmetric distribution of dust and show that it is possible, under general physically reasonable conditions, for an overdensity to evolve to an underdensity and vice versa.
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Review on exact and perturbative deformations of the Einstein-Straus model: uniqueness and rigidity results
TL;DR: In this article, the authors summarize the known uniqueness results for the Einstein-Straus model and conclude that the only reasonable and realistic non-spherical deformations of the model require perturbing the Friedman-Lemaitre-Robertson-Walker (FLRW) background.
References
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Journal ArticleDOI
Singular hypersurfaces and thin shells in general relativity
TL;DR: In this article, an approach to study the dynamics of thin shells of dust in general relativity is presented. But no mention of admissible or even any space-time co-ordinates is needed.
Journal Article
Gravitational instability: An Approximate theory for large density perturbations
TL;DR: In this paper, an approximate solution for the problem of the growth of perturbations during the expansion of matter without pressure is given, qualitatively correct even when the perturbation is not small.
Journal ArticleDOI
A million cubic megaparsec void in Bootes
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The COMA/A1367 Supercluster and Its Environs
TL;DR: In this paper, the three-dimensional galaxy distribution in the region of space surrounding the two rich clusters Coma and A1367 is analyzed by using a nearly complete redshift sample of 238 galaxies with m, 20 h-l Mpc where there appear to be no galaxies whatever.
Journal ArticleDOI
Galaxy formation in an intergalactic medium dominated by explosions
TL;DR: In this article, conditions for the existence of a hydrodynamic instability by which galaxy formation leads to more galaxy formation due to the propagation of the energy released at the death of massive stars are examined, and it is shown that such an explosive amplification is possible at redshifts less than about 5 and stellar system masses between 10 to the 8th and 10 to 12th solar masses.