论文标题
爱因斯坦重力中毛茸茸的黑洞的微弱宇宙审查制度猜想
Weak Cosmic Censorship Conjecture of Hairy Black Holes in Einstein Gravity
论文作者
论文摘要
除了Kerr-Newman的黑洞外，在重力和宇宙学中，已经广泛研究了一般相对论的毛茸茸的黑洞。在本文中，我们扩展了Sorce-Wald方法，以证明爱因斯坦重力中静态和球形对称毛状黑色孔的弱宇宙审查猜想（WCCC），而无需使用公制和Lagrangian的显式表达式。我们在碰撞过程中检查了WCCC，而无需对扰动物质字段的球形对称性进行对称。在假设时空的稳定性条件并将高斯无效坐标应用于变异身份之后，我们得出了前两个阶扰动不平等，这反映了物质场的无效条件。结果，我们发现在二阶近似下，在上述扰动过程中不能破坏几乎极端的静态毛茸茸的黑洞。我们的结果意味着，只要物质场在扰动水平下满足无效的能量条件，WCCC的有效人物对于爱因斯坦重力中的毛茸茸的黑洞是普遍的。
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.
