Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Primordial Black Holes in the Pre-Inflationary Period, the Probabilities of Their Occurrence Taking Into Account Quantum-Gravitational Corrections, and Some Cosmological Implications

Version 1 : Received: 26 May 2024 / Approved: 27 May 2024 / Online: 27 May 2024 (07:39:15 CEST)

How to cite: Shalyt-Margolin, A. Primordial Black Holes in the Pre-Inflationary Period, the Probabilities of Their Occurrence Taking Into Account Quantum-Gravitational Corrections, and Some Cosmological Implications. Preprints 2024, 2024051688. https://doi.org/10.20944/preprints202405.1688.v1 Shalyt-Margolin, A. Primordial Black Holes in the Pre-Inflationary Period, the Probabilities of Their Occurrence Taking Into Account Quantum-Gravitational Corrections, and Some Cosmological Implications. Preprints 2024, 2024051688. https://doi.org/10.20944/preprints202405.1688.v1

Abstract

In the last decades the primordial black holes ({\bf 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 {\bf 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 ({\bf 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 {\bf pbhs} under study with due regard for the given {\bf 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 above-mentioned {\bf 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.

Keywords

keyprimordial black holes; inflationary cosmology; quantum-gravitational corrections

Subject

Physical Sciences, Theoretical Physics

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