Conformally symmetric wormhole solutions supported by non-commutative geometries in the context of f(Q,T) gravity

• Published in: Chinese journal of physics (Taipei) 2024-06, Vol.89, p.195-209
• Main Authors: Tayde, Moreshwar, Hassan, Zinnat, Sahoo, P.K.
• Format: Article
• Language: English
• Subjects: f(Q,T) gravity; Non-commutative geometry; Symmetry; Wormhole
• ISSN: 0577-9073
• DOI: 10.1016/j.cjph.2024.02.003

This paper examines wormhole geometries in the context of f(Q,T) gravity under the background of non-commutative distributions. We discuss the analytical solutions assuming spherical symmetry and the presence of conformal Killing vectors, which provides a systematic approach for seeking exact wormhole solutions. Specifically, the imposition of conformal symmetry places noteworthy constraints on the model, shaping the analytical outcomes more precisely. We studied the properties of traversable wormholes under both Gaussian and Lorentzian distributions and noticed that NEC and SEC are violated in the neighborhood of the wormhole throat. We also observed the influence of model parameters as well as non-commutative parameters for these violations. Employing the “volume integral quantifier”, it is established that conformally symmetric wormhole geometries may, in principle, be constructed with infinitesimally small amounts of matter, violating the averaged null energy condition. Further, equilibrium forces and the complexity factor of the non-commutative distributed wormholes have also been explored. [Display omitted] •We employed conformal symmetry to find the exact solutions of wormholes in f(Q,T) gravity.•We investigate the wormholes under Gaussian and Lorentzian distributions.•We observe that the corresponding wormhole solutions obey the flaring-out and flatness conditions.•We noticed that the derived solutions violate the NEC with restrictions on model.