论文标题
强大的宇宙审查制度猜想,用于带电BTZ黑洞
Strong cosmic censorship conjecture for a charged BTZ black hole
论文作者
论文摘要
强有力的宇宙审查制度猜想的验证声明了一般相对性的确定性性质,已经研究了带有三维一般相对性的带电BTZ黑洞的确定性,以及在D = 2N+1间距时间内d = 2n+1的纯lovelock Gravity。通过分析和数值途径,我们计算了准正常模式频率的假想部分与Cauchy Horizon处的表面重力的比率。其中最低对应于与违反强宇宙审查猜想有关的关键参数。我们的结果表明,此参数始终小于临界值$(1/2)$,从而尊重强宇宙审查的猜想。这与四个或更高维的黑洞以及旋转BTZ黑洞完全相反,在该黑洞中,存在违反强宇宙审查的猜想。已经讨论了与光子轨道稳定性的含义和可能的联系。
The strong cosmic censorship conjecture, whose validation asserts the deterministic nature of general relativity, has been studied for charged BTZ black holes in three dimensional general relativity, as well as for Nth order pure Lovelock gravity in d=2N+1 spacetime dimensions. Through both analytical and numerical routes, we have computed the ratio of the imaginary part of the quasi-normal mode frequencies with the surface gravity at the Cauchy horizon. The lowest of which corresponds to the key parameter associated with violation of strong cosmic censorship conjecture. Our results demonstrate that this parameter is always less than the critical value $(1/2)$, thereby respecting the strong cosmic censorship conjecture. This is in complete contrast to the four or, higher dimensional black holes, as well as for rotating BTZ black hole, where the violation of strong cosmic censorship conjecture exists. Implications and possible connection with the stability of the photon orbits have been discussed.