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Abstract <p>We study the role of <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12267_2025_5268_Article_IEq3.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="38" /> </InlineMediaObject> <EquationSource Format="TEX">\(f(Q)\)</EquationSource> <!--GravCos2570014Singha-m3--> </InlineEquation> gravity in the context of homogeneous and isotropic space–time having flat spatial sections. We explore cosmological scenarios compatible with the observational data of the cosmic chronometer and supernovae Ia Pantheon sample in the <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12267_2025_5268_Article_IEq3.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="38" /> </InlineMediaObject> <EquationSource Format="TEX">\(f(Q)\)</EquationSource> <!--GravCos2570014Singha-m4--> </InlineEquation> gravity framework. In particular, we study the constant deceleration and jerk parameter model with a generalized Hubble parameter ansatz to derive the Lagrangian of <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12267_2025_5268_Article_IEq3.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="38" /> </InlineMediaObject> <EquationSource Format="TEX">\(f(Q)\)</EquationSource> <!--GravCos2570014Singha-m5--> </InlineEquation> gravity. We solve the field equations to reconstruct <InlineEquation ID="IEq6"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12267_2025_5268_Article_IEq3.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="38" /> </InlineMediaObject> <EquationSource Format="TEX">\(f(Q)\)</EquationSource> <!--GravCos2570014Singha-m6--> </InlineEquation> gravity for a universe composed of matter and dark energy. In this way, the parameters of the present model are fully determined by the observations.</p>

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Observationally Compatible Cosmological Scenarios in \(\boldsymbol{f(Q)}\) Gravity with Lagrangian Reconstruction

  • 期刊论文

  • 发表日期：

    2025年6月11日

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  • Rishab Singha,
  • Ashutosh Singh

摘要

Abstract

We study the role of \(f(Q)\) gravity in the context of homogeneous and isotropic space–time having flat spatial sections. We explore cosmological scenarios compatible with the observational data of the cosmic chronometer and supernovae Ia Pantheon sample in the \(f(Q)\) gravity framework. In particular, we study the constant deceleration and jerk parameter model with a generalized Hubble parameter ansatz to derive the Lagrangian of \(f(Q)\) gravity. We solve the field equations to reconstruct \(f(Q)\) gravity for a universe composed of matter and dark energy. In this way, the parameters of the present model are fully determined by the observations.