Erratum: Probing geometric proca in metric-palatini gravity with black hole shadow and photon motion (The European Physical Journal C, (2023), 83, 4, (318), 10.1140/epjc/s10052-023-11490-2)

Official URL: https://dx.doi.org/10.1140/epjc/s10052-023-11554-3

In this article the affiliation details have been re-structured from: 1 Faculty of Engineering and Natural Sciences, Sabancı University, 34956 Tuzla, Istanbul, Turkey 2 New Uzbekistan University, Mustaqillik ave. 54, 100007 Tashkent, Uzbekistan 3 Inha University in Tashkent, Ziyolilar 9, 100170 Tashkent, Uzbekistan 4 National University of Uzbekistan, 100174 Tashkent, Uzbekistan 5 University of Public Safety of the Republic of Uzbekistan, 100109 Tashkent Region, Uzbekistan 6 Institute of Fundamental and Applied Research, National Research University TIIAME, Kori Niyoziy 39, 100000 Tashkent, Uzbekistan 7 Akfa University, Milliy Bog’ Street 264, 111221 Tashkent, Uzbekistan 8 Tashkent State Technical University, 100095 Tashkent, Uzbekistan 9 Samarkand State University, University Avenue 15, 140104 Samarkand, Uzbekistan 10 Ulugh Beg Astronomical Institute, Astronomy St 33, 100052 Tashkent, Uzbekistan to: 1 Faculty of Engineering and Natural Sciences, Sabancı University, 34956 Tuzla, Istanbul, Turkey 2 New Uzbekistan University, Mustaqillik ave. 54, 100007 Tashkent, Uzbekistan 3 Inha University in Tashkent, Ziyolilar 9, 100170 Tashkent, Uzbekistan 4 Institute of Fundamental and Applied Research, National Research University TIIAME, Kori Niyoziy 39, 100000 Tashkent, Uzbekistan 5 Akfa University, Milliy Bog’ Street 264, 111221 Tashkent, Uzbekistan 6 National University of Uzbekistan, 100174 Tashkent, Uzbekistan 7 University of Public Safety of the Republic of Uzbekistan, 100109 Tashkent Region, Uzbekistan 8 Tashkent State Technical University, 100095 Tashkent, Uzbekistan 9 Samarkand State University, University Avenue 15, 140104 Samarkand, Uzbekistan 10 Ulugh Beg Astronomical Institute, Astronomy St 33, 100052 Tashkent, Uzbekistan The original article has been corrected.