Test the weak cosmic censorship conjecture via black hole in dark matter halo (2311.04415v2)

Abstract: The weak cosmic censorship conjecture states that the black hole singularity is hidden inside the event horizon of the black hole, making it impossible for an external observer to measure. In this study, we investigate the weak cosmic censorship conjecture test of dark matter halo-black hole systems in both the cold dark matter model and ultralight dark matter model scenarios, with the aim of gaining insights into the influence of dark matter particles on the weak cosmic censorship conjecture. By examining the particle incident on an extremely or nearly extremal dark matter - black hole, as well as the scattering of a scalar field by an extreme or near-extreme dark matter - black hole. We find that, for test particles, the weak cosmic censorship conjecture is violated under extreme conditions. Under near-extreme conditions, our calculation results show a second-order small quantity, which indicates that the weak cosmic censorship conjecture may be breached under near-extreme conditions. However, if the self-force effect is taken into consideration, whether the weak cosmic censorship conjecture will be violated still requires further in-depth research. For scalar fields, the weak cosmic censorship conjecture is violated under extreme conditions, while under near-extreme conditions, our results show that the weak cosmic censorship conjecture still holds. This research will contribute to furthering our comprehension of the intricate interplay between dark matter and black holes.