In this work, we present a fascinating relation to probe the late-time cosmology directed by recent developments in classical cosmology under the Myrzakulov Gravity. We investigate a cosmological model within the framework of metric-affine <InlineEquation ID="IEq3"> <EquationSource Format="TEX">$F(R, \mathcal {T})$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>F</mi> <mo stretchy="false">(</mo> <mi>R</mi> <mo>,</mo> <mi mathvariant="script">T</mi> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation> gravity, where R is the Ricci curvature scalar and <InlineEquation ID="IEq4"> <EquationSource Format="TEX">$ \mathcal {T} $</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="script">T</mi> </math></EquationSource> </InlineEquation> is the torsion scalar associated with a non-special connection. We take the linear function of <InlineEquation ID="IEq5"> <EquationSource Format="TEX">$ F(R, \mathcal {T}) $</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>F</mi> <mo stretchy="false">(</mo> <mi>R</mi> <mo>,</mo> <mi mathvariant="script">T</mi> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation>, and find the solution of the modified field equations (FEs) for Myrzakulov Gravity-I, applying the model’s independent approach. Moreover, we employ a Markov chain Monte Carlo (MCMC) simulation to determine the model parameters within the confidence regions <InlineEquation ID="IEq6"> <EquationSource Format="TEX">$ 1\sigma $</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>1</mn> <mi>σ</mi> </mrow> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq7"> <EquationSource Format="TEX">$ 2\sigma $</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>2</mn> <mi>σ</mi> </mrow> </math></EquationSource> </InlineEquation> using the latest observational datasets. The density parameters for dark energy (DE) and dark matter (SCDM), the deceleration parameter (q), and the EoS parameter (<InlineEquation ID="IEq8"> <EquationSource Format="TEX">$ \omega $</EquationSource> <EquationSource Format="MATHML"><math> <mi>ω</mi> </math></EquationSource> </InlineEquation>) exhibit how the Universe evolves our model within Myrzakulov Gravity, furnishing an appropriate scenario of the late-time cosmology. Finally, we find that our model represents a quintessence dark energy model and approaches the <InlineEquation ID="IEq9"> <EquationSource Format="TEX">$ \Lambda $</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="normal">Λ</mi> </math></EquationSource> </InlineEquation>CDM at later times.

Cosmology in the Perspective of Metric-affine $F(R, \mathcal {T})$ Gravity

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发表日期：

2026年3月28日

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Shaily,
Sonal Aggarwal,
Niraj Kumar,
Tuan Q. Do,
J. K. Singh

摘要

In this work, we present a fascinating relation to probe the late-time cosmology directed by recent developments in classical cosmology under the Myrzakulov Gravity. We investigate a cosmological model within the framework of metric-affine $F(R, \mathcal {T})$ $F (R, T)$ gravity, where R is the Ricci curvature scalar and $ \mathcal {T} $ $T$ is the torsion scalar associated with a non-special connection. We take the linear function of $ F(R, \mathcal {T}) $ $F (R, T)$ , and find the solution of the modified field equations (FEs) for Myrzakulov Gravity-I, applying the model’s independent approach. Moreover, we employ a Markov chain Monte Carlo (MCMC) simulation to determine the model parameters within the confidence regions $ 1\sigma $ $1 σ$ and $ 2\sigma $ $2 σ$ using the latest observational datasets. The density parameters for dark energy (DE) and dark matter (SCDM), the deceleration parameter (q), and the EoS parameter ( $ \omega $ $ω$ ) exhibit how the Universe evolves our model within Myrzakulov Gravity, furnishing an appropriate scenario of the late-time cosmology. Finally, we find that our model represents a quintessence dark energy model and approaches the $ \Lambda $ $Λ$ CDM at later times.

Cosmology in the Perspective of Metric-affine \(F(R, \mathcal {T})\) Gravity

摘要