Hyperbolic inflation in the Jordan frame

Abstract

We consider a multi-scalar field model in the Jordan frame which can be seen as a two-scalar field model where the Brans-Dicke field interacts in the kinetic part with the second scalar field. This theory under a conformal transformation reduces to the hyperbolic inflation. We show that scaling solutions and the de Sitter universe are provided by theory. In the study of asymptotic dynamics, we determine an attractor where all the fluid sources contribute in the cosmological fluid. This attractor is always a spiral and it can be seen as the analogue of the hyperbolic inflation in the Jordan frame.

arXiv comment16 pages, 3 figures

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• Imprints of screened dark energy on nonlocal quantum correlations
• Multiscalar-torsion Cosmology: Exact and Analytic Solutions from Noether Symmetries
• Analytic solution and Noether symmetries for the hyperbolic inflationary model in the Jordan frame