Construction of Chiral Cosmological Models Unifying Inflation and Primordial Black Hole Formation

We propose the method for construction of \(F(R,\xi)\) gravity model, unifying inflation and primordial black hole formation. The proposed models are based on the Starobinsky \(R+R^2\) inflationary model, so, the function \(F(R,\xi)\) is a quadratic polynomial of the Ricci scalar \(R\). We show that...

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Bibliographic Details
Published in:arXiv.org 2024-01
Main Authors: Pozdeeva, Ekaterina O, Sergey Yu Vernov
Format: Article
Language:English
Subjects:
Astronomical models
Black holes
Cosmology
Inflation (cosmology)
Polynomials
Online Access:Get full text
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Summary:We propose the method for construction of \(F(R,\xi)\) gravity model, unifying inflation and primordial black hole formation. The proposed models are based on the Starobinsky \(R+R^2\) inflationary model, so, the function \(F(R,\xi)\) is a quadratic polynomial of the Ricci scalar \(R\). We show that the potential of the corresponding two-field chiral cosmological model in the Einstein frame can be always found in terms of the elementary functions. The special choice of the function \(F(R,\xi)\) allows us to get such a generalization of the hybrid inflation that can describe both inflation, and the primordial black hole formation.
ISSN:2331-8422
DOI:10.48550/arxiv.2401.12040