Slow-Roll Inflation in the Jordan Frame

Abstract

Inflation models based on scalar-tensor theories of gravity are formulated in the Jordan frame but most often analysed in the Einstein frame. The transformation between the frames is not always desirable. In this work we formulate slow-roll conditions in the Jordan frame. This is achieved by comparing different background quantities and approximations on the same spatial slice in both frames. We use these approximations to derive simple equations that can be applied to compute inflation model observables in terms of Jordan frame quantities only. Finally, we apply some of the results to analyse generalised induced gravity models and compare them with the latest observations.

28 pages, 6 figures

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• Imprints of screened dark energy on nonlocal quantum correlations
• Global Portraits of Nonminimal Inflation: Metric and Palatini
• Comoving curvature perturbation in Jordan and Einstein frames
• More accurate slow-roll approximations for inflation in scalar-tensor theories
• Holographic inflation and holographic dark energy from entropy of the anti-de Sitter black hole
• Global Portraits of Inflation in Nonsingular Variables
• Evolution of the early universe in Einstein-Cartan theory
• All-loop effective potential for arbitrary scalar models in curved space-time
• Non-minimally coupled quintessential inflation
• Mutated hilltop inflation in light of Planck/ACT observations
• Scalar-Induced Gravitational Waves in Palatini $f(R)$ Gravity