2026, Vol.29, No.1, pp.37 - 49

This paper presents a continuation of a study of taking into account the quantum-gravity corrections ( qgcs) for primordial black holes ( pbhs) and of the corresponding inferences in cosmology. The first part is devoted to application of the above-mentioned qgcs in the de Sitter epoch to solution of the Dark Energy Problem. In the process the Dark Energy is understood as the vacuum energy the density of which is identical to the cosmological constant within constant factors. The explicit formula for the transformation of this density due to qgcs for pbhs with the Schwarzschild-de~Sitter metric in the de Sitter space has been derived. The case of a dynamic cosmological term in this formalism has been considered. The second part of the work is devoted to studies of qgcs for pbhs during the radiation-dominant era. At first it has been demonstrated that the inclusion of these corrections shifts all the parameters in accordance with the formulae applicable to the de Sitter epoch. Then the accretion and evaporation processes in this pattern are studied for pbhs. It has been shown that, compared with a semiclassical consideration, in this case the accretion rate is lowering, whereas the evaporation rate is growing, i.e., in this pattern the evaporation processes are intensified.

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