论文标题
在更高维度的Schwarzschild因果关系上
On Schwarzschild causality in higher dimensions
论文作者
论文摘要
我们表明，渐近空间的因果特性取决于其尺寸：虽然过去的任何点的时间般的未来，$ \ Mathcal $ \ Mathcal {i}^ - $包含整个未来的综合属性$ \ \ \ \ \ \ \ \ \ natercal {i}^+in $（2+1+1）$（2+1）$（2+1）$（2+1）$（3+1）$（3+1） （我们称之为Penrose属性）如果$ D> 3 $，则不以$（D+1）$尺寸Schwarzschild持有。我们还表明，penrose属性在$（3+1）$尺寸中适用于Kerr解决方案，并在存在正质量的情况下与散射理论进行了讨论。
We show that the causal properties of asymptotically flat spacetimes depend on their dimensionality: while the time-like future of any point in the past conformal infinity $\mathcal{I}^-$ contains the whole of the future conformal infinity $\mathcal{I}^+$ in $(2+1)$ and $(3+1)$ dimensional Schwarzschild spacetimes, this property (which we call the Penrose property) does not hold for $(d+1)$ dimensional Schwarzschild if $d>3$. We also show that the Penrose property holds for the Kerr solution in $(3+1)$ dimensions, and discuss the connection with scattering theory in the presence of positive mass.
