<p>In this work, we analyse the accelerated expansion of the universe within the framework of telerparallel <InlineEquation ID="IEq2"> <EquationSource Format="TEX">$f\left(T\right)$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>f</mi> <mfenced close=")" open="("> <mi>T</mi> </mfenced> </mrow> </math></EquationSource> </InlineEquation> gravity by adopting a logamediate form of the scale factor <InlineEquation ID="IEq3"> <EquationSource Format="TEX">$a\left(t\right)={e}^{\left[\beta {\left(\text{l}\text{n}t\right)}^{\alpha }\right]}$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>a</mi> <mfenced close=")" open="("> <mi>t</mi> </mfenced> <mo>=</mo> <msup> <mrow> <mi>e</mi> </mrow> <mfenced close="]" open="["> <mi>β</mi> <msup> <mrow> <mfenced close=")" open="("> <mtext>ln</mtext> <mi>t</mi> </mfenced> </mrow> <mi>α</mi> </msup> </mfenced> </msup> </mrow> </math></EquationSource> </InlineEquation> in a spatially flat FRW geometry. Modified field equations corresponding to the power-law form <InlineEquation ID="IEq4"> <EquationSource Format="TEX">$f\left(T\right)={T}^{\eta }$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>f</mi> <mfenced close=")" open="("> <mi>T</mi> </mfenced> <mo>=</mo> <msup> <mrow> <mi>T</mi> </mrow> <mi>η</mi> </msup> </mrow> </math></EquationSource> </InlineEquation> were derived and analyzed in detail. Using logarithm expansion, we examined the behavior of key cosmological quantities such as energy density, isotropic pressure, equation of state (EoS), stability factor, and energy conditions of the model. Our results show that the model successfully exhibits a transition from deceleration to acceleration and reproduces the radiation, quintessence, and phantom phases. The violation of the strong energy condition ensures late-time acceleration, whereas stability analysis reveals the dynamic nature of the model within the <InlineEquation ID="IEq5"> <EquationSource Format="TEX">$f\left(T\right)$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>f</mi> <mfenced close=")" open="("> <mi>T</mi> </mfenced> </mrow> </math></EquationSource> </InlineEquation> framework.</p>

Logamediate expansion and dark-energy-driven acceleration in $f\left(T\right)$ teleparallel gravity

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发表日期：

2026年6月3日

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Ather Husain,
Shakeel Khan,
Rishikumar Agrawal,
Salim Shekh

摘要

In this work, we analyse the accelerated expansion of the universe within the framework of telerparallel $f\left(T\right)$ $f (T)$ gravity by adopting a logamediate form of the scale factor $a\left(t\right)={e}^{\left[\beta {\left(\text{l}\text{n}t\right)}^{\alpha }\right]}$ $a (t) = e^{[β, {(ln, t)}^{α}]}$ in a spatially flat FRW geometry. Modified field equations corresponding to the power-law form $f\left(T\right)={T}^{\eta }$ $f (T) = T^{η}$ were derived and analyzed in detail. Using logarithm expansion, we examined the behavior of key cosmological quantities such as energy density, isotropic pressure, equation of state (EoS), stability factor, and energy conditions of the model. Our results show that the model successfully exhibits a transition from deceleration to acceleration and reproduces the radiation, quintessence, and phantom phases. The violation of the strong energy condition ensures late-time acceleration, whereas stability analysis reveals the dynamic nature of the model within the $f\left(T\right)$ $f (T)$ framework.

Logamediate expansion and dark-energy-driven acceleration in \(f\left(T\right)\) teleparallel gravity

摘要