论文标题
分析连接到广告$ _5 $边界的局部brane-world黑洞
Localized brane-world black hole analytically connected to an AdS$_5$ boundary
论文作者
论文摘要
我们从第一原理构建了分析性,指数定位的五维brane-world黑洞的几何形状。黑洞的奇异性完全在于3大国,而事件的视野显示为薄煎饼形。 Brane上的诱导线元素假定了Schwarzschild解决方案的形式,而散装几何形状实际上是在地平线外有效的$ _5 $。衍生的几何形状由仅由两个独立组件(能量密度和切向压力)描述的大容量中的各向异性流体支持,而无论其在散装中的一致嵌入中,都需要在勃板上引入任何内容。
We construct from first principles the geometry of an analytic, exponentially localized five-dimensional brane-world black hole. The black-hole singularity lies entirely on the 3-brane, while the event horizon is shown to have a pancake shape. The induced line-element on the brane assumes the form of the Schwarzschild solution while the bulk geometry is effectively AdS$_5$ outside the horizon. The derived geometry is supported by an anisotropic fluid in the bulk described only by two independent components, the energy density and tangential pressure, whereas no matter needs to be introduced on the brane for its consistent embedding in the bulk.