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Self-similar solution is obtained for propagation of a strong shock, in aflat expanding dusty Friedman universe. Approximate analytic solution wasobtained earlier, using relation between self-similar variables, equivalent tothe exact energy conservation integral, which was obtained by L.I. Sedov forthe strong explosion in the static uniform medium. Numerical integration ofself-similar equation is made here, giving an exact solution of the problem,which is rather close to the approximate analytic one. The differences betweenthese solutions are most apparent in the vicinity of the shock. For polytropicequation of state, self-similar solutions exist in more narrow interval of theadiabatic power than in the static case.

Strong shock in a uniform expanding universe. Approximate and exact solutions of self-similar equations