论文标题
事件范围检测不变的
Event Horizon Detecting Invariants
论文作者
论文摘要
一些明智选择的局部曲率标量可用于不变地表征$ d> 3 $尺寸的黑洞事件范围，但是由于所有曲率不变符号都是恒定的，因此它们因三维Bañados-teitelboim-Zanelli（btz）黑洞而失败。在这里，我们使用Codimension One Hypersurfaces而不是完整的时空来提供BTZ黑洞事件范围的不变表征。我们的方法也适用于通用维度的黑洞，但在三个，四个和五个维度中最有效。我们给出了四个维度的Kerr，五维Myers-Perry和三维扭曲的Anti-De保姆，以及三个渐近平面的黑洞作为示例。
Some judiciously chosen local curvature scalars can be used to invariantly characterize event horizons of black holes in $D > 3$ dimensions, but they fail for the three dimensional Bañados-Teitelboim-Zanelli (BTZ) black hole since all curvature invariants are constant. Here we provide an invariant characterization of the event horizon of the BTZ black hole using the curvature invariants of codimension one hypersurfaces instead of the full spacetime. Our method is also applicable to black holes in generic dimensions but is most efficient in three, four, and five dimensions. We give four dimensional Kerr, five dimensional Myers-Perry and three dimensional warped-anti-de Sitter, and the three dimensional asymptotically flat black holes as examples.
