Expansion of a Thin Shell around a Void in Expanding Universe

Abstract
A fully relativistic formulation for a motion of a compressed shell in an expanding dust universe is given in the approximation of an infinitesimally thin shell. Using the equation of motion obtained, the expansion law of a mass shell surrounding a spherical void is discussed. The fully relativistic equation of motion is derived and its solutions are given in the Newtonian approximation.

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