Alexander Shalyt-Margolin. Primordial Black Holes in the Pre-inflationary Period, the Probabilities of Their Occurrence Taking Into Account Quantum-gravitational Corrections, and Some Cosmological Implications
Natural Sciences / Physics / Gravitation Theory (Relativity)
Submitted on: May 26, 2024, 15:47:15
Description: In the last decades the primordial black holes (pbhs) have attracted much attention of cosmologists and astrophysicists. This is associated with origination of such black holes in the early Universe as a result of a gravitational collapse of the high-density matter, making them natural "detectors" of the processes involved. In inflationary cosmology of particular importance are pbhs originated during the pre-inflationary period. And, since they are small and generated at the energies close to the Planck energies, for them we should take into consideration the quantum-gravitational corrections (qgcs). In turn, these corrections change (shift) the inflationary parameters. The paper presents a study of the above-mentioned shifts with regard to these corrections for different scenarios. It is shown that probabilities of occurrence of the pbhs under study with due regard for the given qgcs are rising as compared to the semiclassical consideration. Besides, high-energy deformations of Friedmann Equations created on the basis of these corrections have been derived for different patterns. Conclusion contains the general remarks concerning the abovementioned qgcs for cosmological parameters and perturbations due to inflation; the steps for their investigation are outlined and the key problems of such a study are formulated