The weak cosmic censorship conjecture and thermodynamics in the quintessence AdS black hole under charge particle absorption

Understand

Considering the cosmological constant as the pressure, we mainly study the laws of thermodynamics and weak cosmic censorship conjecture in the Reissner-Nordstr\"{o}m-AdS black hole surrounded by quintessence dark energy under charged particle absorption.

• The first law of thermodynamics is found to be valid as a particle is absorbed by the black hole.
• The second law however is found to be violated for the extremal and near-extremal black holes since the entropy of these black hole decrease.
• Moreover, we find that the extremal black hole do not change it configuration in the extended phase space, implying that the weak cosmic censorship conjecture is valid.