The density evolution and the red-shift cut-off.

Mathematics – Logic

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Cosmology

Scientific paper

By analysing the solutions of the continuity equation which give the evolution functions of the form E = E(t) and basing on the general model of cosmological evolution it has been pointed out that such functions may arise not only for the assumption of the pure density evolution, but by the assumption of the existence of the luminosity evolution as well. There is a class of solutions describing the evolution of sources being in the dimming phase for which E is a function of t only. These solutions represent a uniform luminosity evolution. The numerical methods in which it is assumed that the evolution function depends on red-shift only may give reliable results for z < 2.

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