{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,19]],"date-time":"2026-05-19T13:33:26Z","timestamp":1779197606755,"version":"3.51.4"},"reference-count":85,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2023,3,8]],"date-time":"2023-03-08T00:00:00Z","timestamp":1678233600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>This paper uses the Noether symmetry approach to examine the viable and stable traversable wormhole solutions in the framework of the f(R,T2) theory, where R is the Ricci scalar and T2=T\u03bc\u03bdT\u03bc\u03bd is the self-contraction of the stress\u2013energy tensor. For this purpose, we consider a specific model of this modified theory to obtain the exact solutions of the Noether equations. Further, we formulate the generators of the Noether symmetry and first integrals of motion. We analyze the presence of viable and stable traversable wormhole solutions corresponding to different redshift functions. In order to determine whether this theory provides physically viable and stable wormhole geometry or not, we check the graphical behavior of the null energy constraint, causality condition and adiabatic index for an effective stress\u2013energy tensor. It is found that viable and stable traversable wormhole solutions exist in this modified theory.<\/jats:p>","DOI":"10.3390\/sym15030684","type":"journal-article","created":{"date-parts":[[2023,3,9]],"date-time":"2023-03-09T02:33:16Z","timestamp":1678329196000},"page":"684","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":28,"title":["Traversable Wormhole Solutions Admitting Noether Symmetry in f(R,T2) Theory"],"prefix":"10.3390","volume":"15","author":[{"given":"Muhammad Zeeshan","family":"Gul","sequence":"first","affiliation":[{"name":"Department of Mathematics and Statistics, The University of Lahore, 1-KM Defence Road, Lahore 54770, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6845-3506","authenticated-orcid":false,"given":"Muhammad","family":"Sharif","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, The University of Lahore, 1-KM Defence Road, Lahore 54770, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,3,8]]},"reference":[{"key":"ref_1","first-page":"1","article-title":"f(R) theories","volume":"13","author":"Tsujikawa","year":"2010","journal-title":"Living Rev. 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