标题： 毛发黑洞的弱宇宙审查猜想 显示英文标题

标题： Weak Cosmic Censorship Conjecture of Hairy Black Holes in Einstein Gravity

摘要： 除了Kerr-Newman黑洞外，广义相对论中的毛发黑洞在引力和宇宙学中已被广泛研究。 在本文中，我们将Sorce-Wald方法扩展，以证明静态且球对称的毛发黑洞在爱因斯坦引力中弱宇宙审查猜想（WCCC），而无需使用物质场的度规和拉格朗日量的显式表达式。 我们在不要求扰动物质场球对称性的碰撞过程中检验了WCCC。 在假设时空稳定性并将高斯零坐标应用于变分恒等式后，我们推导出前两个阶次的扰动不等式，这些不等式反映了物质场的零能量条件。 结果表明，在二阶近似下，几乎极端的静态毛发黑洞在上述扰动过程中不会被破坏。 我们的结果表明，只要物质场在扰动层次满足零能量条件，WCCC的有效性对于爱因斯坦引力中的毛发黑洞是普遍的。 显示英文摘要

摘要： Apart from the Kerr-Newman black holes, the hairy black holes in general relativity have been widely investigated in the gravity and cosmology. In this paper, we extend the Sorce-Wald method to prove the weak cosmic censorship conjecture (WCCC) of the static and spherically symmetric hairy black holes in the Einstein gravity without using the explicit expressions of the metric and lagrangian for matter fields. We examine the WCCC in the collision process without requiring the spherically symmetry of the perturbation matter fields. After assuming the stability condition of spacetime and applying the Gaussian null coordinates into the variational identities, we derive the first two order perturbation inequalities which reflects the null energy condition of the matter fields. As a result, we find that nearly extremal static hairy black hole cannot be destroyed in the above perturbation process under the second-order approximation. Our result implies that the valid of the WCCC is universal for the hairy black hole in the Einstein gravity as long as the matter fields satisfy the null energy condition under the perturbation level.