On ModMax AdS Black Hole Behaviors with Dark Matter

Using CUDA numerical methods exploited in machine learning computations, we investigate the ModMax AdS black holes in the presence of dark matter. After examining the singular and horizon behaviors, we study the effect of this dark sector on physical properties, including thermodynamics and shadows. By computing the associated quantities, we first reveal that such AdS black holes exhibit certain similarities to Van der Waals fluid systems. After that, we examine the effect of the dark matter on the associated optical quantities. Due to the complexity of the optical equations, we employ CUDA techniques to approach how external dark matter distributions influence optical properties such as shadows and energy emission rates. This provides a better understanding of how the charge and the dark matter external parameters alter optical observables, offering insights into astrophysical possibilities.