AdS black holes with perfect fluid dark matter and weak cosmic censorship conjecture

By considering the absorption of a charged particle, the thermodynamic laws and weak cosmic censorship conjecture are investigated for Reissner–Nordstöm–anti–de Sitter black holes with prefect fluid dark matter. We find that the first law of thermodynamics and the second law of thermodynamics are still valid in AdS spacetime with dark matter. In particular, we test the validity of weak cosmic censorship conjecture by studying how the minimum value of the function that determines the position of the horizon changes. As a result, it shows that there are always horizons that make the weak cosmic censorship conjecture hold, and the extreme black holes can evolve into non-extreme black holes in dark matter background.