Novel insights into wormhole solutions in extended teleparallel gravity inspired by non-commutative geometry.

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Title: Novel insights into wormhole solutions in extended teleparallel gravity inspired by non-commutative geometry.
Authors: Ditta, Allah1,2 (AUTHOR) mradshahid01@gmail.com, Sadiq, Sobia3 (AUTHOR) sobia.sadiq@ue.edu.pk, Rasheed, A. S.4 (AUTHOR) ali.math2025@scrd-gate.gov.iq, Errehymy, Abdelghani5 (AUTHOR) abdelghani.errehymy@gmail.com, Maurya, S. K.6 (AUTHOR) sunil@unizwa.edu.om, Mustafa, G.7,8 (AUTHOR) gmustafa3828@gmail.com
Source: International Journal of Geometric Methods in Modern Physics. Mar2026, Vol. 23 Issue 4, p1-26. 26p.
Subjects: Wormholes (Physics), Noncommutative geometry, Distribution (Probability theory), Gaussian distribution
Abstract: This paper delves into wormhole solutions in the context of teleparallel Rastall gravity, a special case of f (T) gravity. We explore wormhole features with respect to the Rastall parameter γ and the coupling parameter β. In this approach, a spread distribution is used instead of a point-like gravitational source, drawing inspiration from non-commutative geometry. While designing wormhole solutions, two matter density models the Lorentzian, and the Gaussian are taken into account. We prove the flare-out condition and obtain the form function by picking the right constants to meet the Morris–Thorne criterion. The null energy condition is shown to be violated in our study of the energy conditions, which implies the existence of exotic matter required to sustain the wormhole structure. We study the stability of the wormhole model under hydrostatic equilibrium using the Tolman–Oppenheimer–Volkoff equation, where anisotropic, hydrostatic and Rastall forces interact to keep it stable. This research demonstrates that for both Gaussian and Lorentzian matter distributions, traversable wormhole solutions with zero tidal forces are amenable to teleparallel Rastall gravity. As a result of this framework, the asymptotic flatness of spacetime is a result, and the parameters of teleparallel Rastall gravity are highly important in deciding wormhole features. [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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  Data: Novel insights into wormhole solutions in extended teleparallel gravity inspired by non-commutative geometry.
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  Data: <searchLink fieldCode="AR" term="%22Ditta%2C+Allah%22">Ditta, Allah</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> mradshahid01@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Sadiq%2C+Sobia%22">Sadiq, Sobia</searchLink><relatesTo>3</relatesTo> (AUTHOR)<i> sobia.sadiq@ue.edu.pk</i><br /><searchLink fieldCode="AR" term="%22Rasheed%2C+A%2E+S%2E%22">Rasheed, A. S.</searchLink><relatesTo>4</relatesTo> (AUTHOR)<i> ali.math2025@scrd-gate.gov.iq</i><br /><searchLink fieldCode="AR" term="%22Errehymy%2C+Abdelghani%22">Errehymy, Abdelghani</searchLink><relatesTo>5</relatesTo> (AUTHOR)<i> abdelghani.errehymy@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Maurya%2C+S%2E+K%2E%22">Maurya, S. K.</searchLink><relatesTo>6</relatesTo> (AUTHOR)<i> sunil@unizwa.edu.om</i><br /><searchLink fieldCode="AR" term="%22Mustafa%2C+G%2E%22">Mustafa, G.</searchLink><relatesTo>7,8</relatesTo> (AUTHOR)<i> gmustafa3828@gmail.com</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>. Mar2026, Vol. 23 Issue 4, p1-26. 26p.
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  Data: <searchLink fieldCode="DE" term="%22Wormholes+%28Physics%29%22">Wormholes (Physics)</searchLink><br /><searchLink fieldCode="DE" term="%22Noncommutative+geometry%22">Noncommutative geometry</searchLink><br /><searchLink fieldCode="DE" term="%22Distribution+%28Probability+theory%29%22">Distribution (Probability theory)</searchLink><br /><searchLink fieldCode="DE" term="%22Gaussian+distribution%22">Gaussian distribution</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: This paper delves into wormhole solutions in the context of teleparallel Rastall gravity, a special case of f (T) gravity. We explore wormhole features with respect to the Rastall parameter γ and the coupling parameter β. In this approach, a spread distribution is used instead of a point-like gravitational source, drawing inspiration from non-commutative geometry. While designing wormhole solutions, two matter density models the Lorentzian, and the Gaussian are taken into account. We prove the flare-out condition and obtain the form function by picking the right constants to meet the Morris–Thorne criterion. The null energy condition is shown to be violated in our study of the energy conditions, which implies the existence of exotic matter required to sustain the wormhole structure. We study the stability of the wormhole model under hydrostatic equilibrium using the Tolman–Oppenheimer–Volkoff equation, where anisotropic, hydrostatic and Rastall forces interact to keep it stable. This research demonstrates that for both Gaussian and Lorentzian matter distributions, traversable wormhole solutions with zero tidal forces are amenable to teleparallel Rastall gravity. As a result of this framework, the asymptotic flatness of spacetime is a result, and the parameters of teleparallel Rastall gravity are highly important in deciding wormhole features. [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/S0219887825501828
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      – Code: eng
        Text: English
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        PageCount: 26
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    Subjects:
      – SubjectFull: Wormholes (Physics)
        Type: general
      – SubjectFull: Noncommutative geometry
        Type: general
      – SubjectFull: Distribution (Probability theory)
        Type: general
      – SubjectFull: Gaussian distribution
        Type: general
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      – TitleFull: Novel insights into wormhole solutions in extended teleparallel gravity inspired by non-commutative geometry.
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              Text: Mar2026
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              Y: 2026
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