The inflationary scenario in the $f(R)$ gravity model with a $R^4$ term

Anisur Rahaman; Sahazada Aziz; Sohan Kumar Jha

The inflationary scenario in the $f(R)$ gravity model with a $R^4$ term

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arxiv 2211.08159 v1 pith:YCHQQNHS submitted 2022-11-15 gr-qc

Sahazada Aziz , Sohan Kumar Jha , Anisur Rahaman This is my paper · ORCID

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abstract

We investigate the cosmic inflation scenario of a specific $f(R)$ model that contains more than one higher-order term in $R$. The $f(R)$ considered here has the terms $R^2$, $R^3$, and $R^4$ along with the linear term. A rigorous investigation has been carried out in the presence of these higher-order terms to figure out whether it leads to a physically sensible cosmic inflationary model. We examine in detail, subject to which conditions this $f(R)$ model renders a viable inflationary scenario, and it has been found that the outcomes of our study agree well with the recent PLANCK results.

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Inflationary observables in $F(R)$ gravity
gr-qc 2024-12 reject novelty 3.0 of 10

For a quartic f(R) inflation model, two solutions predict tensor-to-scalar ratios around 0.0005 to 0.0015, which are consistent with Planck and BICEP/Keck bounds but below current detection limits.

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