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This paper investigates the evolution of a void and an adjacent galaxysupercluster. For this purpose the quasispherical Szekeres model is employed.The Szekeres model is an exact solution of the Einstein field equations. Inthis way investigations of the evolution of the cosmic structures presentedhere can be freed from such assumptions as small amplitude of the densitycontrast. Studying the evolution of a void and an adjacent supercluster resultsnot only in better understanding the evolution of cosmic structures but also inacquainting us with the Szekeres model.  The main results include the conclusion that small voids surrounded by largeoverdensities evolve slower than large, isolated voids do. On the other hand,large voids enhance the evolution of adjacent superclusters which evolve muchfaster than isolated galaxy superclusters.

Evolution of a void and an adjacent galaxy supercluster in the quasispherical Szekeres model