Conformally symmetric wormhole solutions supported by non-commutative geometries in the context of $f(Q,T)$ gravity
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866929283792896000 |
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| author | Tayde, Moreshwar Hassan, Zinnat Sahoo, P. K. |
| author_facet | Tayde, Moreshwar Hassan, Zinnat Sahoo, P. K. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_11661 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Conformally symmetric wormhole solutions supported by non-commutative geometries in the context of $f(Q,T)$ gravity Tayde, Moreshwar Hassan, Zinnat Sahoo, P. K. General Relativity and Quantum Cosmology High Energy Physics - Theory 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. |
| title | Conformally symmetric wormhole solutions supported by non-commutative geometries in the context of $f(Q,T)$ gravity |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2311.11661 |