Ghost-free non-local $F(R)$ Gravity Compatible with ACT

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Hauptverfasser: Nojiri, Shin'ichi, Odintsov, S. D., Oikonomou, V. K.
Format: Preprint
Veröffentlicht: 2026
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author Nojiri, Shin'ichi
Odintsov, S. D.
Oikonomou, V. K.
author_facet Nojiri, Shin'ichi
Odintsov, S. D.
Oikonomou, V. K.
contents We confront the ghost-free non-local $F(R)$ gravity theories with the latest Atacama Cosmology Telescope (ACT) constraints on the spectral index of the scalar perturbations and the updated constraints of Planck/BICEP on the tensor-to-scalar ratio. After reviewing how the ghost-free non-local version of $F(R)$ gravity can be obtained, we show that the de Sitter solution can be obtained in this framework. Also, we show that the resulting theory can be cast in terms of an $F(R,ϕ)$ theory of gravity. We analyze two models of non-local $F(R)$ gravity, one power-law and the $R^2$ model, and we show that both models can be compatible with the ACT and updated Planck/BICEP constraints.
format Preprint
id arxiv_https___arxiv_org_abs_2601_07879
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Ghost-free non-local $F(R)$ Gravity Compatible with ACT
Nojiri, Shin'ichi
Odintsov, S. D.
Oikonomou, V. K.
General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
We confront the ghost-free non-local $F(R)$ gravity theories with the latest Atacama Cosmology Telescope (ACT) constraints on the spectral index of the scalar perturbations and the updated constraints of Planck/BICEP on the tensor-to-scalar ratio. After reviewing how the ghost-free non-local version of $F(R)$ gravity can be obtained, we show that the de Sitter solution can be obtained in this framework. Also, we show that the resulting theory can be cast in terms of an $F(R,ϕ)$ theory of gravity. We analyze two models of non-local $F(R)$ gravity, one power-law and the $R^2$ model, and we show that both models can be compatible with the ACT and updated Planck/BICEP constraints.
title Ghost-free non-local $F(R)$ Gravity Compatible with ACT
topic General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
url https://arxiv.org/abs/2601.07879