arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1001.0152gr-qc
收藏

Reissner-Nordstrom黑洞内部静态区域的引力不稳定性

Gravitational instability of the inner static region of a Reissner-Nordstrom black hole

Gustavo Dotti, Reinaldo J. Gleiser

摘要:

Reissner-Nordström黑洞有两个静态区域:$r > \ro$和$0 < r < \ri$,其中$\ri$和$\ro$是视界的内外半径。外部静态区域的稳定性早已确定。在这项工作中,我们证明了内部静态区域在线性引力扰动下是不稳定的,通过显示在该区域内的场扰动competently支持一般会激发一个模式,该模式随时间呈指数增长。这一结果给出了一个替代质量暴胀的理由,认为柯西视界之外的时空扩展是物理上无关的,从而为强宇宙监督猜想提供了支持,这也得到了作者发现的克尔黑洞内部区域线性引力不稳定性的最新证据的支持。使用intertwiners来解决初始数据的演化起着关键的作用,并适应超极值\rn黑洞的情况下,没有改变,允许完成这个裸奇点的线性不稳定性的证明。一个特定的缠绕被发现,使得缠绕Zerilli场具有几何意义-它是一个特定的黎曼张量不变量的一阶变化-。利用这一点,可以对每个谐波数进行显式计算。

英文摘要:

Reissner--Nordström black holes have two static regions: $r > \ro$ and $0 < r < \ri$, where $\ri$ and $\ro$ are the inner and outer horizon radii. The stability of the exterior static region has been established long time ago. In this work we prove that the interior static region is unstable under linear gravitational perturbations, by showing that field perturbations compactly supported within this region will generically excite a mode that grows exponentially in time. This result gives an alternative reason to mass inflation to consider the space time extension beyond the Cauchy horizon as physically irrelevant, and thus provides support to the strong cosmic censorship conjecture, which is also backed by recent evidence of a linear gravitational instability in the interior region of Kerr black holes found by the authors. The use of intertwiners to solve for the evolution of initial data plays a key role, and adapts without change to the case of super-extremal \rn black holes, allowing to complete the proof of the linear instability of this naked singularity. A particular intertwiner is found such that the intertwined Zerilli field has a geometrical meaning -it is the first order variation of a particular Riemann tensor invariant-. Using this, calculations can be carried out explicitely for every harmonic number.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑