标题： 宇宙监督原理在自相似球形尘埃坍缩中的应用 显示英文标题

标题： Cosmic Censorship for Self-Similar Spherical Dust Collapse

摘要： 我们对裸露的自相似Lemaitre-Tolman-Bondi时空中的柯西视界在偶宇称线性扰动下的稳定性进行了严格研究。 我们结合能量方法和L^p空间的结果来确定扰动在时空中演化时的行为。 我们首先建立了一个平均值在柯西视界上通常发散。 我们接着引入扰动的一个重新缩放版本，并表明它在柯西视界上是有界的且不为零。 这进一步表明扰动本身在柯西视界上以逐点方式发散。 我们使用受扰的Weyl标量对此结果进行物理解释。 这个结果支持宇宙审查假说。 显示英文摘要

摘要： We undertake a rigorous study of the stability of the Cauchy horizon in the naked self-similar Lemaitre-Tolman-Bondi spacetimes under even parity linear perturbations. We use a combination of energy methods and results about L^p-spaces to determine the behaviour of the perturbations as they evolve through the spacetime. We first establish that an average of the perturbation generically diverges on the Cauchy horizon. We next introduce a rescaled version of the perturbation, and show that it is bounded and non-zero on the Cauchy horizon. This in turn shows that the perturbation itself diverges in a pointwise fashion on the Cauchy horizon. We give a physical interpretation of this result using the perturbed Weyl scalars. This result supports the hypothesis of cosmic censorship.