The hypothesis of antigravitational interaction of elementary particles andantiparticles is considered on the basis of the simple two-componenthydrodynamic model with gravitational repulsion and attraction. It is shownincreasing of the Jeans instability rate, the presence of antiscreening and thedominative role of the gravitational repulsion as a possible mechanism forspatial separation of matter and antimatter in Universe, as well as theobservable acceleration of the far galaxies. The sound wave is found for thetwo-component gravitational-antigravitational system, which starts for k = 0 inthe case of annihilation neglecting. The suggested approach permits toreestablish the idea about baryon symmetry of Universe, causing its steadyflatness of the large scale and accelerated Universe expansion.
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