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The formula describing the explicit red-shift dependence for the distancecovered by a signal in the expanding space, and also the expressions for Hubblelaw have been derived directly from the conformal group transformations takinginto account the light-cone equation. The obtained relations are associatedwith the luminosity distance represented as an explicit function of the redshift involving no other parameters but the scaling factor $c H^{-1}_0$. Theserelations represent in a pure kinematical way and in a complete agreement withobservations, the revealed transition of the Metagalaxy to acceleratedexpansion (the dark energy effect).

The dark energy effect as manifestation of the signal propagation features in expanding Universe