Probing geometric proca in metric-palatini gravity with black hole shadow and photon motion Elham Ghorani, Beyhan Puliçe, Farruh Atamurotov, Javlon Rayimbaev, Ahmadjon Abdujabbarov and Durmuş Demir Eur. Phys. J. C, 83 4 (2023) 318 Published online: 24 April 2023 DOI: 10.1140/epjc/s10052-023-11490-2