论文标题
光子区域和旋转5D黑色弦的阴影
Photon region and shadow of a rotating 5D black string
论文作者
论文摘要
为了探索事件地平线望远镜（EHT）观测值的额外维度的可能线索，我们研究了一般相对论（GR）旋转5D黑色字符串的阴影。我们没有在有效的4D理论中调查阴影，而是关注具有保守动量$ p_z $的光子沿额外尺寸$ z $的运动，该光子在光子的地理器方程中看起来是有效的质量。 $ p_z $的存在会扩大光子区域和旋转5D黑色字符串的阴影，同时对失真产生略有影响。 M87*和sgra*的EHT观察可以排除沿额外尺寸的无限长度的黑色弦模型，并支持以下假设：额外的维度是紧凑的，以避免gregory-laflamme（gl）不稳定，黑色弦乐的长度可以将紧凑的尺寸限制在较少的$ 2.03125〜 \ rmmmmm} imm}。 2.6〜 \ rm {mm} $和$ 2.28070〜 \ rm {mm} \ sillssim \ ell \ lysesim 2.6〜 \ rm {mm {mm} $。
To explore the possible clues for the extra dimension from the Event Horizon Telescope (EHT) observations, we study the shadow of the rotating 5D black string in General Relativity (GR). Instead of investigating the shadow in the effective 4D theory, we concern the motion of photons along the extra dimension $z$ with a conserved momentum $P_z$, which appears as an effective mass in the geodesic equations of photons. The existence of $P_z$ enlarges the photon regions and the shadow of the rotating 5D black string while it has slight impact on the distortion. The EHT observations of M87* and SgrA* can rule out the black string model with an infinite length along the extra dimension, and support the hypothesis that the extra dimension is compact to avoid the Gregory-Laflamme (GL) instability, where the length of the black string/the compact extra dimension can be constrained as $2.03125~\rm{mm} \lesssim \ell \lesssim 2.6~\rm{mm}$ and $2.28070~\rm{mm} \lesssim \ell \lesssim 2.6~\rm{mm}$ respectively.
