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Abstract <p> In the presence of dark energy, Bianchi type V space–time and its cosmological model are examined in Lyra geometry. A hybrid nature of the scale factor <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11232_2025_2637_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="84" /> </InlineMediaObject> <EquationSource Format="TEX">\(a=\sqrt[m]{t^ne^{\xi t}}\)</EquationSource> </InlineEquation> and the power-law expansion <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11232_2025_2637_Article_IEq2.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="71" /> </InlineMediaObject> <EquationSource Format="TEX">\(H=la^{-n}\)</EquationSource> </InlineEquation> are analyzed to derive an exact solution characterizing a universe transitioning from an early decelerating stage to the present accelerating phase. The derived cosmological model is investigated under different admissible values of <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11232_2025_2637_Article_IEq3.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="14" /> </InlineMediaObject> <EquationSource Format="TEX">\(n\)</EquationSource> </InlineEquation>. An equation that represents a special case of the Raychaudhuri equation for timelike geodesic is also established. Several geometrical and physical characteristics of the model are analyzed and illustrated with graphical representation. </p>

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A study on the expansion of the universe with Lyra geometry in a Bianchi type V space–time in the presence of dark energy

  • 期刊论文

  • 发表日期：

    2025年6月25日

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  • D. I. Mazumder

摘要

Abstract

In the presence of dark energy, Bianchi type V space–time and its cosmological model are examined in Lyra geometry. A hybrid nature of the scale factor \(a=\sqrt[m]{t^ne^{\xi t}}\) and the power-law expansion \(H=la^{-n}\) are analyzed to derive an exact solution characterizing a universe transitioning from an early decelerating stage to the present accelerating phase. The derived cosmological model is investigated under different admissible values of \(n\) . An equation that represents a special case of the Raychaudhuri equation for timelike geodesic is also established. Several geometrical and physical characteristics of the model are analyzed and illustrated with graphical representation.