Gravitational signature of accelerating ModMax–Λ black holes

Abstract

In this paper, we derive exact solutions for electrically charged accelerating black holes in ModMax–Einstein–Λ gravity by examining the C-metric. We then investigate how the accelerating and ModMax parameters influence the photonic orbit. Moreover, we analyze both the angular shadow and the shadow radius of an accelerating black hole in the presence of ModMax field and the cosmological constant. Furthermore, we explore the gravitational lensing effect to investigate the impact of accelerating parameter, the ModMax field, and the cosmological constant on the deflection angle of light in a gravitational field.