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<p>By applying a particular kind of modified gravity, we study inflation. Precisely, we extend our investigations beyond Einstein’s gravity to explore the natural inflation model via the term, <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12036_2025_10063_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="50" /> </InlineMediaObject> <EquationSource Format="TEX">\(F(\phi )T\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>F</mi> <mo stretchy="false">(</mo> <mi>ϕ</mi> <mo stretchy="false">)</mo> <mi>T</mi> </mrow> </math></EquationSource> </InlineEquation>. We compute the inflation dynamics to derive the slow-roll parameters, i.e., the tensor-to-scalar ratio <i>r</i> and the scalar spectral index <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12036_2025_10063_Article_IEq4.gif" Format="GIF" Height="12" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(n_s\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>n</mi> <mi>s</mi> </msub> </math></EquationSource> </InlineEquation>. This modified form of gravity yields not only the predictions of the original models, but also better fitting with the Planck/BICEP/Keck data.</p>

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\(F(\phi )T\)-gravity and inflationary natural model

  • 期刊论文

  • 发表日期：

    2025年7月5日

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  • Feyzollah Younesizadeh,
  • Davoud Kamani

摘要

By applying a particular kind of modified gravity, we study inflation. Precisely, we extend our investigations beyond Einstein’s gravity to explore the natural inflation model via the term, \(F(\phi )T\) F ( ϕ ) T . We compute the inflation dynamics to derive the slow-roll parameters, i.e., the tensor-to-scalar ratio r and the scalar spectral index \(n_s\) n s . This modified form of gravity yields not only the predictions of the original models, but also better fitting with the Planck/BICEP/Keck data.