论文标题
纯净的Lovelock重力中的弱宇宙审查制度猜想
Weak cosmic censorship conjecture in the pure Lovelock gravity
论文作者
论文摘要
众所周知,线性阶测试粒子积聚可以过度繁殖四个维度的旋转黑洞,但是,当包括非线性扰动时,它总是被推翻。事实证明,在爱因斯坦的重力中,由于尺寸的质量而引起的吸引力,旋转引起的排斥,$ d> 5 $,因此,即使是线性订单积聚,黑洞也无法超越。对于纯Lovelock旋转的黑洞,此维阈值为$ d> 4n+1 $,其中$ n $是动作中Lovelock多项式中单$ n $ th订单项的程度。因此,纯洛夫洛克旋转黑洞总是服从大于$ 4N+1 $的所有维度的弱宇宙审查猜想(WCCC)。由于整体重力超出了这个维阈值,因此在那里旋转黑洞是如何形成的?
It is well known that a rotating black hole in four dimension could be overspun by linear order test particle accretion which however always gets overturned when non-linear perturbations are included. It turns out that in the Einstein gravity, repulsion due to rotation dominates over attraction due to mass in dimensions, $D>5$, and consequently black hole cannot be overspun even for linear order accretion. For the pure Lovelock rotating black hole, this dimensional threshold is $D>4N+1$ where $N$ is degree of single $N$th order term in the Lovelock polynomial in the action. Thus the pure Lovelock rotating black holes always obey the weak cosmic censorship conjecture (WCCC) in all dimensions greater than $4N+1$. Since overall gravity being repulsive beyond this dimensional threshold, how is rotating black hole then formed there?