A regular MOG black hole’s impact on shadows and gravitational weak lensing in the presence of a quintessence field

• DOI: 10.1088/1572-9494/ad4c55
• Publication Date: 2024-05-16T04:00:38Z
• Authors: Ahmad Al-Badawi; Sanjar Shaymatov; Mirzabek Alloqulov; Anzhong Wang
• Keywords: Quintessence; Photon sphere

Abstract We investigate the impact of modified gravity (MOG) field and quintessence scalar on horizon evolution, black hole (BH) shadow weak gravitational lensing around a static spherically symmetric BH. first begin to write BH metric associated with MOG parameter field. then determine obtain numerical solutions for photon sphere radius. show that ( α ) c parameters have significant sphere. Based analysis, we further combined effects can increase values radii. also constraints by applying observational data Sgr A ⋆ M87 . Finally, consider deflection angle within context Gauss–Bonnet theorem (GBT) do make value increase, find this remarkable property is in good agreement physical meaning both maintain strong surrounding environment