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Attractor Models in Scalar-Tensor Theories of Inflation

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arxiv 1706.07934 v2 pith:T5I64QLV submitted 2017-06-24 gr-qc astro-ph.COhep-phhep-th

classification gr-qcastro-ph.COhep-phhep-th
keywords theoriesattractorpredictionsbrans-dickecertainchoicescosmologicalfreedom
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abstract

In this work we study the cosmological attractor models of inflation in connection with certain scalar-tensor theories of gravity, e.g $f(R)$ gravity and Brans-Dicke theory. For some particular choices of the functional degrees of freedom in these theories, one obtains Starobinsky like predictions in the ($n_s$-$r$) observable plane. We have demonstrated that these choices in the Lagrangian density of certain $f(R)$ and Brans-Dicke theories fulfil the condition of the cosmological attractors. That explains why known predictions of $f(R)$ and Brans-Dicke theories in certain cases appear to be the predictions of the much discussed attractor theories. In addition, we did an analysis showing how the predictions of an attractor model is preserved with respect to the variation in the functional freedom of the theory.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Corrections to inflationary models induced by non-minimal coupling between scalar field and curvature

    gr-qc 2026-07 conditional novelty 5.0 of 10

    Power-law non-minimal coupling F=(H/λ)^{2n} deforms inflationary potentials, shifts r and n_S while preserving n_T=-r/8 and GR-like reheating, enabling r(1-n_S) classification of models against Planck/ACT data.

  2. Inflationary assessment of $F(\mathcal{R},\tilde{\mathcal{R}})$ Einstein-Cartan models

    gr-qc 2025-12 conditional novelty 5.0 of 10

    Adding cubic Holst-invariant terms to F(R,R̃) Einstein-Cartan inflation models systematically lowers the predicted spectral index n_s and tensor-to-scalar ratio r, restoring data compatibility in parameter regions whe...

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