SPACE, TIME AND FUNDAMENTAL INTERACTIONS

CONSTRUCTION OF CHIRAL COSMOLOGICAL MODELS UNIFYING INFLATION AND PRIMORDIAL BLACK HOLE FORMATION

Pozdeeva E.O., Vernov S.Yu.

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 \(R,\xi\) is a scalar field. 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.