论文标题
毛茸茸的Schwarzschild黑洞的重力镜头
Gravitational lensing by the hairy Schwarzschild black hole
论文作者
论文摘要
在此手稿中，我们考虑了逃避无发品定理的毛茸茸的Schwarzschild黑洞。头发是由诸如暗物质等环境中的其他来源诱导的，该环境具有恒定的能量量张量（EMT）。我们研究了毛茸茸的施瓦茨柴尔德黑洞背景中光的强力镜头。我们观察到，镜头系数$ \ OVILLINE {a} $以$α$增加，但使用$ \ ell_0 $减少。对于镜头系数$ \叠加{b} $和影响参数$ b_m $，观察到相反的效果。我们还注意到，角位置$θ_\ infty $以$α$减少，但随着$ \ ell_0 $的增加而增加，而Angular Elaparation $ s $随$α$增加，并以$ \ ell_0 $减少。对于提到的所有参数，每当我们放置$α= 0 $或$ \ ell_0 = 1 $时，我们都会重新获得Schwarzschild黑洞的值。借助高斯 - 骨网定理，我们简要描述了在毛茸茸的Schwarzschild黑洞的背景下的弱重力镜头。
In this manuscript, we consider the hairy Schwarzschild black hole that evades the no-hair theorem. The hair is induced by an additional source from surroundings, such as dark matter, that has a constant energy-momentum tensor(EMT). We study the strong gravitational lensing of light in the background of the hairy Schwarzschild black hole. We observe that the lensing coefficient $\overline{a}$ increases with $α$ but decreases with $\ell_0$. The opposite effect is observed for the lensing coefficient $\overline{b}$ and the impact parameter $b_m$. We also notice that the angular position $θ_\infty$ decreases with $α$ but increases with $\ell_0$, whereas the angular separation $s$ increases with $α$ and decreases with $\ell_0$. For all parameters mentioned, we regain their values for the Schwarzschild black hole whenever we put either $α=0$ or $\ell_0=1$. With the help of the Gauss-Bonnet theorem, we briefly describe the weak gravitational lensing in the background of the hairy Schwarzschild black hole.
