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<p>In this work, we obtain a cosmological model of the universe in the <i>f</i>(<i>R</i>,&#xa0;<i>T</i>) theory of gravity considering a particular functional <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12648_2024_3540_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="155" /> </InlineMediaObject> <EquationSource Format="TEX">\(f(R,T)=R+2 f(T)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>f</mi> <mo stretchy="false">(</mo> <mi>R</mi> <mo>,</mo> <mi>T</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mi>R</mi> <mo>+</mo> <mn>2</mn> <mi>f</mi> <mo stretchy="false">(</mo> <mi>T</mi> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation>. We consider the universe to be filled with a perfect fluid and a special form of time-dependent deceleration parameter to solve the field equations explicitly. We study different cosmological parameters of the model, including heat flow and energy conditions. We also perform statefinder diagnostics on the derived model and conclude that our model effectively explains the initial and current accelerating scenario of the universe.</p>

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Perfect fluid and heat flow with time dependent deceleration parameter in the framework of f(R, T) gravity

  • 期刊论文

  • 发表日期：

    2025年1月13日

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  • Manash Pratim Das,
  • Krishna Pandit

摘要

In this work, we obtain a cosmological model of the universe in the f(R, T) theory of gravity considering a particular functional \(f(R,T)=R+2 f(T)\) f ( R , T ) = R + 2 f ( T ) . We consider the universe to be filled with a perfect fluid and a special form of time-dependent deceleration parameter to solve the field equations explicitly. We study different cosmological parameters of the model, including heat flow and energy conditions. We also perform statefinder diagnostics on the derived model and conclude that our model effectively explains the initial and current accelerating scenario of the universe.