https://doi.org/10.1140/epjp/s13360-023-04480-6
Regular Article
Wormhole solutions supported by non-commutative geometric background in 
gravity
Department of P.G. Studies and Research in Mathematics, Kuvempu University, Shankaraghatta, 577451, Shivamogga, Karnataka, India
Received:
15
June
2023
Accepted:
14
September
2023
Published online:
6
October
2023
The aim of this manuscript is to investigate the existence of spherically symmetric wormhole solutions in the context of extended symmetric teleparallel gravity by involving some aspects of non-commutative geometry. To accomplish this, we study a linear model 
with anisotropic matter distribution in two different scenarios. In the first scenario, the behavior of traceless matter is studied to describe the important properties of the shape function under Gaussian and Lorentzian distributions. Next, we examine a linear equation of state for radial pressure with both distributions. Further, several interesting points have evolved from the entire investigation along with features of the exotic matter within the wormhole geometry. Finally, we have concluding remarks.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
