Galaxy clusters as relativistic spherically-symmetrical inhomogeneities

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astronomical Models, Cosmology, Galactic Clusters, Relativity, Universe, Density Distribution, Einstein Equations, Missing Mass (Astrophysics), Radial Distribution, Velocity Distribution

Scientific paper

Spherically symmetric exact solutions of the Einstein equations in the absence of pressure are used to construct a dynamical model for clusters of galaxies embedded in a parabolic universe. Radial motions alone are responsible for the velocity dispersion. The density profile, which shows a secondary maximum, and the variation of the velocity dispersion as a function of distance from the cluster center are in qualitative agreement with the observations. The problem of the 'missing mass' is also partially overcome.

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