Preprint Article Version 1 This version is not peer-reviewed

The Quantum Primordial Black Holes, Dimensionless Small Parameter,Inflationary Cosmology and Non-Gaussianity

Version 1 : Received: 26 August 2024 / Approved: 27 August 2024 / Online: 27 August 2024 (11:50:36 CEST)

How to cite: Shalyt-Margolin, A. The Quantum Primordial Black Holes, Dimensionless Small Parameter,Inflationary Cosmology and Non-Gaussianity. Preprints 2024, 2024081918. https://doi.org/10.20944/preprints202408.1918.v1 Shalyt-Margolin, A. The Quantum Primordial Black Holes, Dimensionless Small Parameter,Inflationary Cosmology and Non-Gaussianity. Preprints 2024, 2024081918. https://doi.org/10.20944/preprints202408.1918.v1

Abstract

In the present work consideration is given to the primordial black holes ({\bf pbhs}) in the Schwarzschild-de Sitter Metric with small mass (ultralight) in the preinflationary epoch. Within the scope of natural assumptions, it has been shown that the quantum-gravitational corrections ({\bf qgcs}) to the characteristics of such black holes can contribute to all the cosmological parameters, shifting them compared with the semiclassical consideration. These contributions are determined by a series expansion in terms of a small parameter dependent on the hole mass (radius). For this pattern different cases have been considered (stationary, black hole evaporation...). It has been demonstrated that involvement of ({\bf qgcs}) leads to a higher probability for the occurrence of such {\bf pbhs}. Besides, high-energy deformations of Friedmann Equations created on the basis of these corrections have been derived for different patterns. In the last section of this work it is introduced a study into the contributions generated by the above-mentioned {\bf qgcs} in inflationary cosmological perturbations. Besides, it has been shown that non-Gaussianity of these perturbations is higher as compared to the semi-classical pattern.

Keywords

primordial black holes; inflationary cosmology; quantum-gravitational corrections; non-gaussianity

Subject

Physical Sciences, Theoretical Physics

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