Abstract

Motion of a compressed shell in the dust universe model is investigated in a fully relativistic manner under the approximation of infinitesimally thin shell: All voids smaller than the horizon size expand similarly, but the voids larger than the horizon do not expand appreciably until the horizon encompasses their sizes. In the open universe model, the enlargement of the void stops actually after some period. In the flat universe, the void expands forever faster than the background and its radius R behaves asymptotically as R/a ∝t0.130, where a is the scale factor of the background universe. In the closed universe, the void expands much faster and tends to the light velocity at the final stage.

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