论文标题
光环围绕五个维固定的黑洞和裸奇异点
Light Rings around Five Dimensional Stationary Black Holes and Naked Singularities
论文作者
论文摘要
时空中的光环的存在与黑洞视野的存在和可观察到的响声和阴影的存在密切相关。与非vacuum Ultracact物体相比，黑洞具有相当独特的环境。为了这个目的，最近[P.V.P. Cunha和C.A.R. Herdeiro，物理。莱特牧师。 \ textbf {124}，181101（2020）]拓扑论证，独立于基础重力理论，是为了证明{\ it四}尺寸渐近渐近的均匀的固定，固定的，exisasimytric，exisasimytric，notemmetric，notemmetric，无黑色霍尔斯的杀戮地平线外存在不稳定的光环。在这里，我们将这些论点扩展到五维固定的黑洞。通常，在五个维度中，有两个可能的保守角矩，因此四维讨论不会逐字扩展到五个维度。尽管如此，我们证明每个旋转感都有一个固定黑洞的光环。我们将静态和迈尔斯 - 泥浆旋转的黑洞作为例子。我们还表明，当黑洞的地平线消失并且奇异性变得赤裸时，只有一个光环幸存下来。在四个维度上也发生了类似的现象，这可能允许检验宇宙审查假设。
The existence of light rings in a spacetime is closely related to the existence of black hole horizons and observables such as the ringdown and the shadow. Black holes, compared to nonvacuum ultracompact objects, have rather unique environments. To this aim, recently [P.V.P. Cunha and C.A.R. Herdeiro, Phys. Rev. Lett. \textbf{124}, 181101 (2020)] topological arguments, independent of the underlying gravity theory, were developed to prove the existence of unstable light rings outside the Killing horizon of {\it four} dimensional asymptotically flat, stationary, axisymmetric, nonextremal black holes. Here we extend these arguments to five-dimensional stationary black holes. Generically in five dimensions, there are two possible conserved angular momenta, hence the four-dimensional discussion does not extend verbatim to five dimensions; nevertheless, we prove that there is a light ring for each rotation sense for a stationary black hole. We give the static and the Myers-Perry rotating black holes as examples. We also show that when the horizon of the black hole disappears and the singularity becomes naked, only one of the light rings survives; a similar phenomenon also occurs in four dimensions which might allow testing the cosmic censorship hypothesis.
