{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,22]],"date-time":"2026-03-22T09:18:30Z","timestamp":1774171110708,"version":"3.50.1"},"reference-count":94,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2023,4,2]],"date-time":"2023-04-02T00:00:00Z","timestamp":1680393600000},"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>The effect of spacetime curvature on optical properties may provide an opportunity to suggest new tests for gravity theories. In this paper, we investigated gravitational weak lensing around a Bardeen black hole with the string clouds parameter. First, we examined the horizon structure in the presence of string clouds around the gravitational compact object defined by Bardeen spacetime. The effect of gravitational weak lensing in a plasma medium is also discussed. According to the findings, the influence of the string cloud parameter on the circular orbits of a light ray around the black hole is greater than that in the Schwarzschild case, while the influence of the charge is reversed. The deflection angle of light rays in weak lensing is also used to study how much the image is magnified.<\/jats:p>","DOI":"10.3390\/sym15040848","type":"journal-article","created":{"date-parts":[[2023,4,3]],"date-time":"2023-04-03T03:32:59Z","timestamp":1680492779000},"page":"848","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":30,"title":["Weak Gravitational Lensing around Bardeen Black Hole with a String Cloud in the Presence of Plasma"],"prefix":"10.3390","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8857-4970","authenticated-orcid":false,"given":"Farruh","family":"Atamurotov","sequence":"first","affiliation":[{"name":"School of Mathematics and Natural Sciences, New Uzbekistan University, Mustaqillik Ave. 54, Tashkent 100007, Uzbekistan"},{"name":"College of Engineering, Akfa University, Milliy Bog\u2019 Street 264, Tashkent 111221, Uzbekistan"},{"name":"School of Computer and Information Engineering, Inha University in Tashkent, Ziyolilar 9, Tashkent 100170, Uzbekistan"},{"name":"Physics Faculty, National University of Uzbekistan, Tashkent 100174, Uzbekistan"}]},{"ORCID":"https:\/\/orcid.org\/0009-0007-9968-7066","authenticated-orcid":false,"given":"Husan","family":"Alibekov","sequence":"additional","affiliation":[{"name":"Ulugh Beg Astronomical Institute, Astronomy St. 33, Tashkent 100052, Uzbekistan"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6686-3787","authenticated-orcid":false,"given":"Ahmadjon","family":"Abdujabbarov","sequence":"additional","affiliation":[{"name":"Physics Faculty, National University of Uzbekistan, Tashkent 100174, Uzbekistan"},{"name":"Ulugh Beg Astronomical Institute, Astronomy St. 33, Tashkent 100052, Uzbekistan"},{"name":"Tashkent Institute of Irrigation and Agricultural Mechanization Engineers, Kori Niyoziy 39, Tashkent 100000, Uzbekistan"},{"name":"Institute of Nuclear Physics, Tashkent 100214, Uzbekistan"},{"name":"Power Engineering Faculty, Tashkent State Technical University, Tashkent 100095, Uzbekistan"}]},{"given":"Ghulam","family":"Mustafa","sequence":"additional","affiliation":[{"name":"Department of Physics, Zhejiang Normal University, Jinhua 321004, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5207-8852","authenticated-orcid":false,"given":"Mersaid","family":"Aripov","sequence":"additional","affiliation":[{"name":"Applied Mathematics and Intelligent Technologies Faculty, National University of Uzbekistan, Tashkent 100174, Uzbekistan"}]}],"member":"1968","published-online":{"date-parts":[[2023,4,2]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"30","DOI":"10.1038\/248030a0","article-title":"Black hole explosions?","volume":"248","author":"Hawking","year":"1974","journal-title":"Nature"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"425","DOI":"10.1098\/rspa.1934.0059","article-title":"Foundations of the New Field Theory","volume":"144","author":"Born","year":"1934","journal-title":"Proc. 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