Are $R^2$- and Higgs-inflations really unlikely?

Abstract

We address the question of unlikeness of $R^2$- and Higgs inflations exhibiting exponentially flat potentials and hence apparently violating the inherent in a chaotic inflation initial condition when kinetic, gradient and potential terms are all of order one in Planck units. Placing the initial conditions in the Jourdan frame we find both models not worse than any other models with unbounded from above potentials: the terms in the Einstein frame are all of the same order, though appropriately smaller.

7 pages; replaced with the journal version

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Cited by in corpus (16)

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• Two-loop corrections to Starobinsky-Higgs inflation
• Generality of Starobinsky and Higgs inflation in the Jordan frame
• On the initial conditions for inflation with plateau potentials: the $R+R^2$ (super)gravity case
• Origin of inflation in CFT driven cosmology: $R^2$-gravity and non-minimally coupled inflaton models
• Pre-inflationary dynamics of Starobinsky inflation and its generization in Loop Quantum Brans-Dicke Cosmology
• Exact and slow-roll solutions for exponential power-law inflation connected with f(R) gravity and observational constraints
• Initial conditions for inflation
• Tabletop potentials for inflation from $f(R)$ gravity
• New type of hill-top inflation
• Multi-phase induced inflation in theories with non-minimal coupling to gravity
• Quantum Hubble horizon
• Global portraits of nonminimal inflation
• Strong-coupling scale and frame-dependence of the initial conditions for chaotic inflation in models with modified (coupling to) gravity
• Static cosmological solutions in quadratic gravity
• On the order reduction