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<p>In this work, at first, we investigate gradient Einstein-type spacetimes. After that, we study the properties of a gradient Einstein-type spacetime admitting a parallel vector field. In the next parts, we present a systematic study about gradient Einstein-type spacetime obeying <i>f</i>(<i>R</i>,&#xa0;<i>T</i>) and <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12648_2025_3591_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="68" /> </InlineMediaObject> <EquationSource Format="TEX">\(f(R,L_m)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>f</mi> <mo stretchy="false">(</mo> <mi>R</mi> <mo>,</mo> <msub> <mi>L</mi> <mi>m</mi> </msub> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation> gravity theories. Finally, in the cosmological context we find some remarkable results.</p>

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Gradient Einstein-type spacetimes and modified gravity

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年4月12日

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  • Füsun Özen Zengin,
  • Uday Chand De,
  • Sezgin Altay Demirbag

摘要

In this work, at first, we investigate gradient Einstein-type spacetimes. After that, we study the properties of a gradient Einstein-type spacetime admitting a parallel vector field. In the next parts, we present a systematic study about gradient Einstein-type spacetime obeying f(R, T) and \(f(R,L_m)\) f ( R , L m ) gravity theories. Finally, in the cosmological context we find some remarkable results.