{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,28]],"date-time":"2026-08-28T18:19:25Z","timestamp":1787941165486,"version":"build-2784847793"},"reference-count":27,"publisher":"Public Library of Science (PLoS)","issue":"8","license":[{"start":{"date-parts":[[2026,8,28]],"date-time":"2026-08-28T00:00:00Z","timestamp":1787875200000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"The Deanship of Scientific Research and Libraries at Princess Nourah bint Abdulrahman University Research Group Project","award":["RG-2025-08"],"award-info":[{"award-number":["RG-2025-08"]}]}],"content-domain":{"domain":["www.plosone.org"],"crossmark-restriction":false},"short-container-title":["PLoS One"],"abstract":"<jats:p>This research explores homothetic matter collineations of static plane symmetric space-times through a comprehensive analysis of the stress-energy tensor\u2019s contravariant, co-variant and mixed representations. When dealing with non-degenerate energy-momentumtensors, the contravariant formulation produces finite-dimensional Lie algebras of dimen-sion 4, 5, 6, and 11, while the mixed tensor form consistently generates infinite-dimensional Lie algebras. For degenerate cases, the solution of homothetic matter collineations equations reveals infinite-dimensional Lie algebras for both tensor representations. Further-more, the present study provides a comparative analysis between the homothetic mattercollineations obtained for contravariant and mixed representations of energy-momentumtensors and those obtained for the covariant formulation in an earlier work, identifying significant distinctions among the three approaches used for studying homothetic matter collineations.<\/jats:p>","DOI":"10.1371\/journal.pone.0356201","type":"journal-article","created":{"date-parts":[[2026,8,28]],"date-time":"2026-08-28T17:48:16Z","timestamp":1787939296000},"page":"e0356201","update-policy":"https:\/\/doi.org\/10.1371\/journal.pone.corrections_policy","source":"Crossref","is-referenced-by-count":0,"title":["Homothetic symmetries of static plane symmetric spacetimes: A comparative study of energy-momentum tensor 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