Construction of Chiral Cosmological Models Unifying Inflation and Primordial Black Hole Formation
Abstract
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.
- Publication:
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arXiv e-prints
- Pub Date:
- January 2024
- DOI:
- 10.48550/arXiv.2401.12040
- arXiv:
- arXiv:2401.12040
- Bibcode:
- 2024arXiv240112040P
- Keywords:
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- General Relativity and Quantum Cosmology
- E-Print:
- 6 pages