{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,20]],"date-time":"2026-05-20T14:22:08Z","timestamp":1779286928658,"version":"3.51.4"},"reference-count":54,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2023,7,14]],"date-time":"2023-07-14T00:00:00Z","timestamp":1689292800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Ministry of Innovative Development of the Republic of Uzbekistan","award":["F-FA-2021-510"],"award-info":[{"award-number":["F-FA-2021-510"]}]},{"name":"Ministry of Innovative Development of the Republic of Uzbekistan","award":["F-FA-2021-432"],"award-info":[{"award-number":["F-FA-2021-432"]}]},{"name":"Ministry of Innovative Development of the Republic of Uzbekistan","award":["MRB-2021-527"],"award-info":[{"award-number":["MRB-2021-527"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>The motion of photons and the frequency shift of photons emitted by particles orbiting the central black hole described by the deformed Reissner\u2013Nordstr\u00f6m spacetime metric is investigated. It has been shown that in spacetime, two stable photon spheres are formed due to the gravitational attraction of photons by the central gravitating compact object. It has been found that as spacetime parameters increase, charge and deformation photon spheres become smaller in size and the effect of the electric charge is stronger than the effect of the deformation parameter. The frequency shift of photons radiated by the particles at the equatorial plane becomes stronger for the smaller values of the deformation parameter and the electric charge of the deformed Reissner\u2013Nordstr\u00f6m black hole.<\/jats:p>","DOI":"10.3390\/sym15071414","type":"journal-article","created":{"date-parts":[[2023,7,14]],"date-time":"2023-07-14T08:35:47Z","timestamp":1689323747000},"page":"1414","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":15,"title":["Frequency Shift of Photons in the Spacetime of Deformed RN BH"],"prefix":"10.3390","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0009-0007-9968-7066","authenticated-orcid":false,"given":"Husan","family":"Alibekov","sequence":"first","affiliation":[{"name":"Ulugh Beg Astronomical Institute, Astronomy St. 33, Tashkent 100052, Uzbekistan"},{"name":"Department of Physics, National University of Uzbekistan, Tashkent 100174, Uzbekistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bakhtiyor","family":"Narzilloev","sequence":"additional","affiliation":[{"name":"Ulugh Beg Astronomical Institute, Astronomy St. 33, Tashkent 100052, Uzbekistan"},{"name":"School of Engineering, Central Asian University, Tashkent 111221, Uzbekistan"},{"name":"Institute of Engineering Physics, Samarkand State University, University Avenue 15, Samarkand 140104, Uzbekistan"},{"name":"Tashkent Institute of Irrigation and Agricultural Mechanization Engineers, Kori Niyoziy 39, Tashkent 100000, Uzbekistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6686-3787","authenticated-orcid":false,"given":"Ahmadjon","family":"Abdujabbarov","sequence":"additional","affiliation":[{"name":"Ulugh Beg Astronomical Institute, Astronomy St. 33, Tashkent 100052, Uzbekistan"},{"name":"Department of Physics, National University of Uzbekistan, Tashkent 100174, Uzbekistan"},{"name":"Institute of Nuclear Physics, Ulugbek 1, Tashkent 100214, Uzbekistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1232-610X","authenticated-orcid":false,"given":"Bobomurat","family":"Ahmedov","sequence":"additional","affiliation":[{"name":"Ulugh Beg Astronomical Institute, Astronomy St. 33, Tashkent 100052, Uzbekistan"},{"name":"Department of Physics, National University of Uzbekistan, Tashkent 100174, Uzbekistan"},{"name":"Institute of Fundamental and Applied Research, National Research University TIIAME, Kori Niyoziy 39, Tashkent 100000, Uzbekistan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,7,14]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1630003","DOI":"10.1142\/S0218271816300032","article-title":"Solar-system tests of the relativistic gravity","volume":"25","author":"Ni","year":"2016","journal-title":"Int. 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