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has been cited by the following article:

• TITLE: The Simplest Scale-Invariant Solutions of the Vlasov-Einstein Equations and Their Cosmological Consequences

  AUTHORS: Nikolay N. Fimin

  KEYWORDS: Vlasov Equation, Covariant Derivative, Cosmological Structures

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.13 No.5, May 8, 2025

  ABSTRACT: The solutions of the Vlasov-Einstein equations for a system of gravitating particles, for which initial conditions with a high degree of symmetry take place, have a form close to the De Sitter metric. The concept of inertial motion of matter under homothetic transformation of space can be applied to explain the formation of large-scale cosmological structures. For this purpose, methods for analyzing the motion of particles in the inertial mode of motion are considered.