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The weak cosmic censorship conjecture states that the black hole singularityis hidden inside the event horizon of the black hole, making it impossible foran external observer to measure. In this study, we investigate the weak cosmiccensorship conjecture test of dark matter halo-black hole systems in both thecold dark matter model and ultralight dark matter model scenarios, with the aimof gaining insights into the influence of dark matter particles on the weakcosmic censorship conjecture. By examining the particle incident on anextremely or nearly extremal dark matter - black hole, as well as thescattering of a scalar field by an extreme or near-extreme dark matter - blackhole. We find that, for test particles, the weak cosmic censorship conjectureis violated under extreme conditions. Under near-extreme conditions, ourcalculation results show a second-order small quantity, which indicates thatthe weak cosmic censorship conjecture may be breached under near-extremeconditions. However, if the self-force effect is taken into consideration,whether the weak cosmic censorship conjecture will be violated still requiresfurther in-depth research. For scalar fields, the weak cosmic censorshipconjecture is violated under extreme conditions, while under near-extremeconditions, our results show that the weak cosmic censorship conjecture stillholds. This research will contribute to furthering our comprehension of theintricate interplay between dark matter and black holes.

Test the weak cosmic censorship conjecture via black hole in dark matter halo