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<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" article-type="research-article" dtd-version="1.2" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">Journal of Experimental and Theoretical Physics</journal-id><journal-title-group><journal-title xml:lang="en">Journal of Experimental and Theoretical Physics</journal-title><trans-title-group xml:lang="ru"><trans-title>Журнал экспериментальной и теоретической физики</trans-title></trans-title-group></journal-title-group><issn publication-format="print">0044-4510</issn><issn publication-format="electronic">3034-641X</issn><publisher><publisher-name xml:lang="en">The Russian Academy of Sciences</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">258985</article-id><article-id pub-id-type="doi">10.31857/S0044451024040059</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Articles</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Статьи</subject></subj-group><subj-group subj-group-type="article-type"><subject>Research Article</subject></subj-group></article-categories><title-group><article-title xml:lang="en">NON-LOCAL GRAVITATIONAL CORRECTIONS IN BLACK HOLE SHADOW IMAGES</article-title><trans-title-group xml:lang="ru"><trans-title>НЕЛОКАЛЬНЫЕ ГРАВИТАЦИОННЫЕ ТЕОРИИ И ИЗОБРАЖЕНИЯ ТЕНЕЙ ЧЕРНЫХ ДЫР</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Alekseev</surname><given-names>S. O</given-names></name><name xml:lang="ru"><surname>Алексеев</surname><given-names>С. О</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><email>alexeyev@physics.msu.ru</email><xref ref-type="aff" rid="aff1"/><xref ref-type="aff" rid="aff2"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Bayderin</surname><given-names>A. A</given-names></name><name xml:lang="ru"><surname>Байдерин</surname><given-names>А. А</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><email>alexeyev@physics.msu.ru</email><xref ref-type="aff" rid="aff2"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Nemtinova</surname><given-names>A. V</given-names></name><name xml:lang="ru"><surname>Немтинова</surname><given-names>А. В</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><email>alexeyev@physics.msu.ru</email><xref ref-type="aff" rid="aff3"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Zenin</surname><given-names>O. I</given-names></name><name xml:lang="ru"><surname>Зенин</surname><given-names>О. И</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><email>alexeyev@physics.msu.ru</email><xref ref-type="aff" rid="aff2"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Sternberg Astronomical Institute, Lomonosov Moscow State University</institution></aff><aff><institution xml:lang="ru">Государственный астрономический институт им. П. К. Штернберга</institution></aff></aff-alternatives><aff-alternatives id="aff2"><aff><institution xml:lang="en">Lomonosov Moscow State University</institution></aff><aff><institution xml:lang="ru">Московский государственный университет им. М. В. Ломоносова</institution></aff></aff-alternatives><aff-alternatives id="aff3"><aff><institution xml:lang="en">Ural Federal University named by First President of Russia B.N.Eltsin</institution></aff><aff><institution xml:lang="ru">Уральский федеральный университет им. первого Президента России Б. Н. Ельцина</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2024-04-15" publication-format="electronic"><day>15</day><month>04</month><year>2024</year></pub-date><volume>165</volume><issue>4</issue><issue-title xml:lang="en">VOL 165, NO4 (2024)</issue-title><issue-title xml:lang="ru">ТОМ 165, №4 (2024)</issue-title><fpage>508</fpage><lpage>515</lpage><history><date date-type="received" iso-8601-date="2024-07-05"><day>05</day><month>07</month><year>2024</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2024, Russian Academy of Sciences</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2024, Российская академия наук</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="en">Russian Academy of Sciences</copyright-holder><copyright-holder xml:lang="ru">Российская академия наук</copyright-holder><ali:free_to_read xmlns:ali="http://www.niso.org/schemas/ali/1.0/"/></permissions><self-uri xlink:href="https://journals.rcsi.science/0044-4510/article/view/258985">https://journals.rcsi.science/0044-4510/article/view/258985</self-uri><abstract xml:lang="en"><p>With the help of Newman-Janis method new spinning black hole (BH) solution for a non-local gravity model was obtained. We show how to account the quantum gravitational correction part in BH shadows modelling using spinning BH metrics with a model independent approach. It is confirmed that in the future to follow the increasing of the experimental accuracy and therefore to reproduce new results theoretically one could take into account different field correction terms instead of introducing of new fields and/or curvature expansions.</p></abstract><trans-abstract xml:lang="ru"><p>С помощью метода Ньюмена – Яниса получено новое вращающееся решение «черная дыра» (ЧД) в гравитации c нелокальными поправками. Предложен способ учета поправок от квантовой гравитации при моделировании теней ЧД с использованием вращающихся метрик ЧД. Метод применим и для других нелокальных моделей с аналогичной структурой ЧД-решений. Показано, что в будущем при увеличении точности наблюдений и, следовательно, необходимости более точного их теоретического моделирования в некоторых случаях удобнее учитывать полевые и/или нелокальные поправки вместо введения новых полей.</p></trans-abstract><funding-group><award-group><funding-source><institution-wrap><institution xml:lang="ru">Российский научный фонд</institution></institution-wrap><institution-wrap><institution xml:lang="en">Russian Science Foundation</institution></institution-wrap></funding-source><award-id>23-22-00073</award-id></award-group><funding-statement xml:lang="ru">Работа выполнена при поддержке Российского научного фонда (грант №23-22-00073).</funding-statement></funding-group></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><mixed-citation>А. О. Барвинский, УФН 175, 569 (2005).</mixed-citation></ref><ref id="B2"><label>2.</label><mixed-citation>Е. Е. Боос, В. Е. Буничев, И. П. Волобуев, М. Н. 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