Large-scale structure of the Universe. The Zeldovich approximation and the adhesion model

Гурбатов, С. Н.; Саичев, А. И.; Shandarin, Sergei F.

doi:10.3367/ufne.0182.201203a.0233

Cited by 94 publications

(89 citation statements)

References 107 publications

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“…The tremendous growth of such inhomogeneities from the recombination era to the present time is due to the intrinsic gravitational instability of a nearly homogeneous distribution of matter. The exact manner in which galaxies, clusters of galaxies and eventually the cosmic web have come about is not known; however, it is generally believed that dark matter has played a crucial role in this development [19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

“…More generally, it turns out that after recombination, Newtonian gravitation can be applied in the study of nonrelativistic motion of matter on subhorizon scales [19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

“…[19], [21] and [22]. In this paper, we formulate the nonlocal analog of the Zel'dovich solution that involves, in effect, only one spatial dimension [21].…”

Section: Introductionmentioning

confidence: 99%

“…In conformity with the interpretation of the Zel'dovich solution [21,22], we are interested in the growth of gravitational instability on the largest scales. Can nonlocal gravity bring about large scale structure without recourse to any dark matter?…”

Section: Introductionmentioning

confidence: 99%

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Nonlocal Newtonian cosmology

Chicone¹,

Mashhoon²

2016

Journal of Mathematical Physics

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We explore some of the cosmological implications of the recent classical nonlocal generalization of Einstein's theory of gravitation in which nonlocality is due to the gravitational memory of past events. In the Newtonian regime of this theory, the nonlocal character of gravity simulates dark matter in spiral galaxies and clusters of galaxies. However, dark matter is considered indispensable as well for structure formation in standard models of cosmology. Can nonlocal gravity solve the problem of structure formation without recourse to dark matter? Here we make a beginning in this direction by extending nonlocal gravity in the Newtonian regime to the cosmological domain. The nonlocal analog of the Zel'dovich solution is formulated and the consequences of the resulting nonlocal Zel'dovich model are investigated in detail.

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Section: Introductionmentioning

confidence: 99%

“…More generally, it turns out that after recombination, Newtonian gravitation can be applied in the study of nonrelativistic motion of matter on subhorizon scales [19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

“…[19], [21] and [22]. In this paper, we formulate the nonlocal analog of the Zel'dovich solution that involves, in effect, only one spatial dimension [21].…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Nonlocal Newtonian cosmology

Chicone¹,

Mashhoon²

2016

Journal of Mathematical Physics

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“…A special case when gravitational terms in (33) may cancel exactly relates to the so-called Zeldovich approximation Zel'dovich [65] that assumes a predominantly potential velocity field (∇ × u = 0) such that u = λg, where λ is a constant [66]. Its generalization known as the adhesion model [67,68] relies on multidimensional Burgers' equation in the limit of vanishing viscosity to describe structure formation in a uniform cold gravitationally unstable gas with random initial velocity perturbations [e.g. 69,70].…”

Section: A In Terms Of Two-point Differencesmentioning

confidence: 99%

Exact relations for energy transfer in self-gravitating isothermal turbulence

Banerjee

Kritsuk

2017

Phys. Rev. E

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Self-gravitating isothermal supersonic turbulence is analyzed in the asymptotic limit of large Reynolds numbers. Based on the inviscid invariance of total energy, an exact relation is derived for homogeneous, (not necessarily isotropic) turbulence. A modified definition for the two-point energy correlation functions is used to comply with the requirement of detailed energy equipartition in the acoustic limit. In contrast to the previous relations (Galtier and Banerjee, Phys. Rev. Lett., 107, 134501, 2011; Banerjee and Galtier, Phys. Rev. E, 87, 013019, 2013), the current exact relation shows that the pressure dilatation terms plays practically no role in the energy cascade. Both the flux and source terms are written in terms of two-point differences. Sources enter the relation in a form of mixed second-order structure functions. Unlike kinetic and thermodynamic potential energy, gravitational contribution is absent from the flux term. An estimate shows that for the isotropic case, the correlation between density and gravitational acceleration may play an important role in modifying the energy transfer in self-gravitating turbulence. The exact relation is also written in an alternative form in terms of two-point correlation functions, which is then used to describe scale-by-scale energy budget in spectral space.

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Cosmic Structure Formation with Kinetic Field Theory

et al. 2019

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Kinetic Field Theory (KFT) is a statistical field theory for an ensemble of point-like classical particles in or out of equilibrium. We review its application to cosmological structure formation. Beginning with the construction of the generating functional of the theory, we describe in detail how the theory needs to be adapted to reflect the expanding spatial background and the homogeneous and isotropic, correlated initial conditions for cosmic structures. Based on the generating functional, we develop three main approaches to non-linear, late-time cosmic structures, which rest either on the Taylor expansion of an interaction operator, suitable averaging procedures for the interaction term, or a resummation of perturbation terms. We show how an analytic, parameterfree equation for the non-linear cosmic power spectrum can be derived.We explain how the theory can be used to derive the density profile of gravitationally bound structures and use it to derive power spectra of cosmic velocity densities. We further clarify how KFT relates to the BBGKY hierarchy. We then proceed to apply kinetic field theory to fluids, introduce a reformulation of KFT in terms of macroscopic quantities which leads to a resummation scheme, and use this to describe mixtures of gas and dark matter. We discuss how KFT can be applied to study cosmic structure formation with modified theories of gravity. As an example for an application to a noncosmological particle ensemble, we show results on the spatial correlation function of cold Rydberg atoms derived from KFT.

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Large-scale structure of the Universe. The Zeldovich approximation and the adhesion model

Cited by 94 publications

References 107 publications

Nonlocal Newtonian cosmology

Nonlocal Newtonian cosmology

Exact relations for energy transfer in self-gravitating isothermal turbulence

Cosmic Structure Formation with Kinetic Field Theory

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