vestifmИзвестия Национальной академии наук Беларуси. Серия физико-математических наукProceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series1561-24302524-2415The Republican Unitary Enterprise Publishing House "Belaruskaya Navuka"10.29235/1561-2430-2024-60-3-225-232vestifm-797Research ArticleФИЗИКАPHYSICSПервичные черные дыры в ранней Вселенной, квантово-гравитационные поправки и инфляционная космологияPrimordial black holes in the early Univese, quantum-gravitational corrections and inflationary cosmologyШалыт-МарголинА. Э.Shalyt-MargolinA. E.

Шалыт-Марголин Александр Эммануилович – доктор физико-математических наук, главный научный сотрудник

ул. Бобруйская, 11, 220006, Минск

Alexander E. Shalyt-Margolin – Dr. Sc. (Physics and Mathematics), Chief Researcher

11, Bobruiskaya Str., 220006, Minsk

a.shalyt@mail.ruИнститут ядерных проблем Белорусского государственного университетаResearch Institute for Nuclear Problems of the Belarusian State University202405102024603225232Copyright © Шалыт-Марголин А.Э., 20242024Шалыт-Марголин А.Э.Shalyt-Margolin A.E.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://vestifm.belnauka.by/jour/article/view/797

Первичные черные дыры, возникающие в ранней Вселенной вследствие гравитационного коллапса материи высокой плотности, являются по сути детекторами происходящих в ней процессов. Так как эти черные дыры рождаются в высоких энергиях (близких к планковским) и радиусы их малы, то для них необходим учет квантово-гравитационных поправок. В настоящей работе в рамках обобщенного принципа неопределенности продолжено начатое автором ранее исследование квантово-гравитационных поправок и их вкладов в значения инфляционных параметров для первичных черных дыр в доинфляционную эпоху. В частности, в этой картине рассмотрен случай излучения (испарения) Хокинга для вышеуказанных черных дыр и получены явные формулы для соответствующих «сдвигов» основных параметров инфляции. Во всех случаях найдены выражения для соответствующей коррекции e-фолдингов в инфляционной модели. Сформулированы основные проблемы для дальнейшего исследования.

In essence, primordial black holes generated in the early Universe as a result of a gravitational collapse of the high-density matter are detectors of the processes proceeding in it. As these black holes are generated at high energies (close to the Planck energies) and their radii are small, there is a need to take into consideration the quantum-gravitational corrections for them. In this paper, within the scope of the Generalized Uncertainty Principle, the author continues a study of the quantum-gravitational corrections and their contributions into the inflationary parameters for primordial black holes in the pre-inflationary epoch. Specifically, within this pattern, the author considers a case of Hawking’s radiation (evaporation) for the above-mentioned black holes and derives formulae for the corresponding changes (”shifts”) of the basic inflation parameters. In all cases the expressions for the corresponding correction of е-foldings in an inflation model have been found. In conclusion the main problems for further studies are formulated.

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The authors declare that there are no conflicts of interest present.