论文标题
$ D $:Brane Blobology的黑洞互动
Black hole interactions at large $D$: brane blobology
论文作者
论文摘要
在较大的尺寸($ d $)限制中,爱因斯坦的方程式减少到地平面上的有效理论,从而大大简化了黑洞分析。尤其是,关于黑勃朗尼的有效理论不仅在描述了黑麸的非线性动力学,而且还描述了被编码为单独的高斯肿块的紧凑黑物体的非线性动力学,{\ it blobs}。对于刚性旋转的ANSATZ,除了轴对称变形分支外,还发现了各种非轴对称溶液,例如黑色条,它们仅保持固定在$ d $的限制中。 在本文中,我们通过制定斑点与随后的动力学之间的相互作用来证明BLOB近似具有更大的适用性。我们确定这种相互作用是通过连接斑点的细颈部发生的。尤其是,在远离扰动状态的足够近似中,黑弦被很好地捕获。还发现高度变形的黑色哑铃和纹波在近似中是可触及的。通过定义局部数量,还评估了作用于远处斑点的有效力。这些结果表明,大型$ d $有效理论不仅能够描述单个黑洞,还可以描述它们之间的重力相互作用,作为一种完整的交互式斑点的动力学理论,我们称之为{\ it brane blobology}。
In the large dimension ($D$) limit, Einstein's equation reduces to an effective theory on the horizon surface, drastically simplifying the black hole analysis. Especially, the effective theory on the black brane has been successful in describing the non-linear dynamics not only of black branes, but also of compact black objects which are encoded as solitary Gaussian-shaped lumps, {\it blobs}. For a rigidly rotating ansatz, in addition to axisymmetric deformed branches, various non-axisymmetric solutions have been found, such as black bars, which only stay stationary in the large $D$ limit. In this article, we demonstrate the blob approximation has a wider range of applicability by formulating the interaction between blobs and subsequent dynamics. We identify that this interaction occurs via thin necks connecting blobs. Especially, black strings are well captured in this approximation sufficiently away from the perturbative regime. Highly deformed black dumbbells and ripples are also found to be tractable in the approximation. By defining the local quantities, the effective force acting on distant blobs are evaluated as well. These results reveal that the large $D$ effective theory is capable of describing not only individual black holes but also the gravitational interactions between them, as a full dynamical theory of interactive blobs, which we call {\it brane blobology}.