$δ= 2$ Tomimatsu-Sato时空中阴影的形状和位置
Shape and position of the shadow in the $δ= 2$ Tomimatsu-Sato space-time
摘要：
在5-10年内，甚长基线干涉测量设施将能够观测到超大质量黑洞候选者的“影子”。这将允许，第一次，测试重力在强场制度。本文数值研究了$δ= 2$ Tomimatsu-Sato时空中的光子轨道。$δ= 2$ Tomimatsu-Sato时空是真空爱因斯坦方程的一个定常、轴对称、渐近平坦的精确解。我们比较了相关的阴影与克尔黑洞。在$δ= 2$ Tomimatsu-Sato时空中的阴影形状是扁圆的，当在赤道平面上观察时，两个轴之间的差异可以高达6%。我们认为，未来的空间亚毫米干涉仪（如VSOP-3）可以区分这两种情况，从而能够测试宇宙审查猜想。
英文摘要：
Within 5-10 years, very long baseline interferometry facilities will be able to observe the "shadow" of super-massive black hole candidates. This will allow, for the first time, to test gravity in the strong field regime. In this paper, we study numerically the photon orbits in the $δ= 2$ Tomimatsu-Sato space-time. The $δ= 2$ Tomimatsu-Sato space-time is a stationary, axisymmetric, and asymptotically flat exact solution of the vacuum Einstein equations. We compare the associated shadow with the one of Kerr black holes. The shape of the shadow in the $δ= 2$ Tomimatsu-Sato space-time is oblate and the difference between the two axes can be as high as 6% when viewed on the equatorial plane. We argue that future space sub-mm interferometers (e.g. VSOP-3) may distinguish the two cases, and thus are able to test the Cosmic Censorship Conjecture.
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