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Divergence-free deceleration and energy conditions in non-minimal f(R,T) gravity.

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Title: Divergence-free deceleration and energy conditions in non-minimal f(R,T) gravity.
Authors: Zhadyranova, A.1 (AUTHOR) a.a.zhadyranova@gmail.com, Koussour, M.2 (AUTHOR) pr.mouhssine@gmail.com, Kanibekova, Zh.1 (AUTHOR) kanibekovazhuldyz@gmail.com, Zhumabekova, V.3 (AUTHOR) zh.venera@mail.ru, Ismail, U.1 (AUTHOR) umitismail848@gmail.com, Muminov, S.4 (AUTHOR) sokhibjan.muminov@gmail.com, Rayimbaev, J.5,6 (AUTHOR) javlon@astrin.uz
Source: International Journal of Geometric Methods in Modern Physics. Feb2026, Vol. 23 Issue 2, p1-17. 17p.
Subjects: Hubble constant, Friedmann equations, Gravitation, Physical laws, Expanding universe, Acceleration (Mechanics)
Abstract: In this paper, we investigate the divergence-free parametric form of the deceleration parameter within the simplest non-minimal matter-geometry coupling in f (R , T) gravity, where R is the Ricci scalar and T is the trace of the energy–momentum tensor. Specifically, we consider the linear model f (R , T) = R + 2 λ T , where λ governs the interaction between matter and geometry. Using this parametric form, we derive the Hubble parameter as a function of redshift z and incorporate it into the modified Friedmann equations. Constraining the model with OHD and Pantheon data, we obtain precise estimates for H 0 , the present deceleration parameter q 0 , and its evolutionary component q 1 , confirming a smooth transition between cosmic deceleration and acceleration. Further, we analyze the evolution of the energy density ρ and total EoS parameter ω for different λ values, highlighting deviations from Λ CDM and the role of λ in shaping cosmic dynamics. In addition, we examine energy conditions, finding that the NEC and DEC are satisfied throughout evolution, while the SEC is violated at late times, supporting the observed acceleration. Our findings demonstrate that this divergence-free parameterization within f (R , T) gravity offers a viable framework for explaining late-time cosmic acceleration while maintaining key observational and theoretical constraints. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Geometric Methods in Modern Physics is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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DbLabel: Engineering Source
An: 190513297
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PubTypeId: academicJournal
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  Data: Divergence-free deceleration and energy conditions in non-minimal f(R,T) gravity.
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  Data: <searchLink fieldCode="AR" term="%22Zhadyranova%2C+A%2E%22">Zhadyranova, A.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> a.a.zhadyranova@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Koussour%2C+M%2E%22">Koussour, M.</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> pr.mouhssine@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Kanibekova%2C+Zh%2E%22">Kanibekova, Zh.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> kanibekovazhuldyz@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Zhumabekova%2C+V%2E%22">Zhumabekova, V.</searchLink><relatesTo>3</relatesTo> (AUTHOR)<i> zh.venera@mail.ru</i><br /><searchLink fieldCode="AR" term="%22Ismail%2C+U%2E%22">Ismail, U.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> umitismail848@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Muminov%2C+S%2E%22">Muminov, S.</searchLink><relatesTo>4</relatesTo> (AUTHOR)<i> sokhibjan.muminov@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Rayimbaev%2C+J%2E%22">Rayimbaev, J.</searchLink><relatesTo>5,6</relatesTo> (AUTHOR)<i> javlon@astrin.uz</i>
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Geometric+Methods+in+Modern+Physics%22">International Journal of Geometric Methods in Modern Physics</searchLink>. Feb2026, Vol. 23 Issue 2, p1-17. 17p.
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  Data: <searchLink fieldCode="DE" term="%22Hubble+constant%22">Hubble constant</searchLink><br /><searchLink fieldCode="DE" term="%22Friedmann+equations%22">Friedmann equations</searchLink><br /><searchLink fieldCode="DE" term="%22Gravitation%22">Gravitation</searchLink><br /><searchLink fieldCode="DE" term="%22Physical+laws%22">Physical laws</searchLink><br /><searchLink fieldCode="DE" term="%22Expanding+universe%22">Expanding universe</searchLink><br /><searchLink fieldCode="DE" term="%22Acceleration+%28Mechanics%29%22">Acceleration (Mechanics)</searchLink>
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  Label: Abstract
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  Data: In this paper, we investigate the divergence-free parametric form of the deceleration parameter within the simplest non-minimal matter-geometry coupling in f (R , T) gravity, where R is the Ricci scalar and T is the trace of the energy–momentum tensor. Specifically, we consider the linear model f (R , T) = R + 2 λ T , where λ governs the interaction between matter and geometry. Using this parametric form, we derive the Hubble parameter as a function of redshift z and incorporate it into the modified Friedmann equations. Constraining the model with OHD and Pantheon data, we obtain precise estimates for H 0 , the present deceleration parameter q 0 , and its evolutionary component q 1 , confirming a smooth transition between cosmic deceleration and acceleration. Further, we analyze the evolution of the energy density ρ and total EoS parameter ω for different λ values, highlighting deviations from Λ CDM and the role of λ in shaping cosmic dynamics. In addition, we examine energy conditions, finding that the NEC and DEC are satisfied throughout evolution, while the SEC is violated at late times, supporting the observed acceleration. Our findings demonstrate that this divergence-free parameterization within f (R , T) gravity offers a viable framework for explaining late-time cosmic acceleration while maintaining key observational and theoretical constraints. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal of Geometric Methods in Modern Physics is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1142/S0219887825501543
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        Text: English
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        PageCount: 17
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      – SubjectFull: Hubble constant
        Type: general
      – SubjectFull: Friedmann equations
        Type: general
      – SubjectFull: Gravitation
        Type: general
      – SubjectFull: Physical laws
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      – SubjectFull: Expanding universe
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      – SubjectFull: Acceleration (Mechanics)
        Type: general
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      – TitleFull: Divergence-free deceleration and energy conditions in non-minimal f(R,T) gravity.
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              Text: Feb2026
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              Y: 2026
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