Nonlinear Phenomena in Complex Systems, 2025, Vol.28, No.4, pp.321

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2025, Vol.28, No.4, pp.321 - 333

The Quantum Primordial Black Holes and Relic Gravitational Waves

Alexander Shalyt-Margolin

This paper based on the previously obtained results begins a study into the problem how parameters of the Relic Gravitational Waves (RGW) are shifted due to quantumgravitational corrections to primordial black holes in the early Universe. Explicit formulae have been derived for the corresponding shifts of the wave equation, adiabatic vacuum approximation boundaries, the energy of each created RGW, power spectra of all cosmological expansion stages. It is shown that some of the parameters acquire higher values, specifically the adiabatic bound for the frequencies and the energy of each created RGW. Other parameters retain their values but their domains of definition are shifted, for example, the present power spectrum of RGWs. In the concluding part, the problems for further relevant studies are formulated.

Key words: quantum primordial black holes, inflationary cosmology, quantum-gravitational corrections, relic gravitational waves

DOI: https://doi.org/10.5281/zenodo.17949234

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