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Abstract <p>The formation of large-scale structure of the Universe has been studied using a pressureless medium model. The evolution of initial perturbations and the formation of singularities, such as delta density functions, have been considered using the Euler–Poisson equations for isobaric media. It has been shown that different initial conditions lead to the emergence of different types of singularities, including point-like and curvilinear ones. Criteria for the formation of singularities depending on the initial conditions have been proposed.</p>

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Formation of Large-Scale Structures of the Universe: Singularities and Evolution in Pressureless Media

  • 期刊论文

  • 发表日期：

    2025年11月1日

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  • A. I. Aptekarev,
  • I. Yu. Kalashnikov,
  • Yu. G. Rykov,
  • V. M. Chechetkin

摘要

Abstract

The formation of large-scale structure of the Universe has been studied using a pressureless medium model. The evolution of initial perturbations and the formation of singularities, such as delta density functions, have been considered using the Euler–Poisson equations for isobaric media. It has been shown that different initial conditions lead to the emergence of different types of singularities, including point-like and curvilinear ones. Criteria for the formation of singularities depending on the initial conditions have been proposed.