Emden sphere embedded in a background

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astrodynamics, Galactic Clusters, Kinetic Theory, Vlasov Equations, Astronomical Models, Cosmology, Gas Dynamics, Kinetic Energy

Scientific paper

The interaction between a supercluster as an asymptotical nonempty background, and a cluster with independent dynamics, is considered, and a generalization of the classical Emden sphere is developed, utilizing the Vlasov theory. It is shown that for a system with small residual velocities and perfect fluid matter, the metric can be described as a perturbation of a background metric of Gaussian type.

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