标题： 第一定律和德西特黑洞的弱宇宙审查猜想 显示英文标题

标题： The First Law and Weak Cosmic Censorship for de Sitter Black Holes

摘要： 我们将Iyer-Wald的协变相空间形式应用于渐近de Sitter时空，并建立热力学第一定律，该定律用Abbott-Deser质量来表示。与Iyer-Wald对于渐近平坦黑洞的第一定律类似，我们的第一定律适用于围绕Reissner-Nordström-de Sitter黑洞的一般渐近de Sitter扰动，而无需对扰动施加任何对称性。我们明确推导了直到扰动二阶的第一定律。此外，我们将这个第一定律应用于一个思想实验，涉及通过注入能量和电荷源来过度充电Reissner-Nordström-de Sitter黑洞。我们发现，只要满足null能量条件，渐近de Sitter黑洞就不能被过度充电，从而加强了弱宇宙审查猜想。 显示英文摘要

摘要： We apply Iyer-Wald's covariant phase space formalism to asymptotically de Sitter spacetimes and establish the thermodynamic first law, expressed in terms of the Abbott-Deser mass. Similar to Iyer-Wald's first law for asymptotically flat black holes, our first law applies to general asymptotically de Sitter perturbations around a Reissner-Nordstr\"{o}m-de Sitter black hole, without imposing any symmetry for the perturbations. We explicitly derive the first law up to the second order in perturbation. Additionally, we apply this first law to a thought experiment involving the overcharging of a Reissner-Nordstr\"{o}m-de Sitter black hole by injecting energy and charge sources. We find that asymptotically de Sitter black holes cannot be overcharged, provided that the null energy condition holds, thereby reinforcing the weak cosmic censorship conjecture.