Palatini $F(R,X)$: a new framework for inflationary attractors

Fuente: arXiv
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Hauptverfasser: Dioguardi, Christian, Racioppi, Antonio
Format: Preprint
Veröffentlicht: 2023
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author Dioguardi, Christian
Racioppi, Antonio
author_facet Dioguardi, Christian
Racioppi, Antonio
contents Palatini $F(R)$ gravity proved to be a powerful tool in order to realize asymptotically flat inflaton potentials. Unfortunately, it also inevitably implies higher-order inflaton kinetic terms in the Einstein frame that might jeopardize the evolution of the system out of the slow-roll regime. We prove that a $F(R+X)$ gravity, where $X$ is the inflaton kinetic term, solves the issue. Moreover, when $F$ is a quadratic function such a choice easily leads to a new class of inflationary attractors, fractional attractors, that generalizes the already well-known polynomial $α$-attractors.
format Preprint
id arxiv_https___arxiv_org_abs_2307_02963
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Palatini $F(R,X)$: a new framework for inflationary attractors
Dioguardi, Christian
Racioppi, Antonio
General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
High Energy Physics - Phenomenology
Palatini $F(R)$ gravity proved to be a powerful tool in order to realize asymptotically flat inflaton potentials. Unfortunately, it also inevitably implies higher-order inflaton kinetic terms in the Einstein frame that might jeopardize the evolution of the system out of the slow-roll regime. We prove that a $F(R+X)$ gravity, where $X$ is the inflaton kinetic term, solves the issue. Moreover, when $F$ is a quadratic function such a choice easily leads to a new class of inflationary attractors, fractional attractors, that generalizes the already well-known polynomial $α$-attractors.
title Palatini $F(R,X)$: a new framework for inflationary attractors
topic General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2307.02963