论文标题
Schwarzschild Black Hole在弦云背景中的阴影和重力弱镜头带有典型场
Shadows and gravitational weak lensing by the Schwarzschild black hole in the string cloud background with quintessential field
论文作者
论文摘要
在这项工作中，我们观察到，在存在弦云参数$ a $和Quintessence参数$γ$的情况下，具有状态参数的方程$ω_q= { - 2}/{3} $与纯Schwarzschild黑洞阴影的半径相比，与Pure Schwarzssschild Blackhoil Blackhoil Blackhole Blackhole Blackhoh Hole Case相比增加了。典型的深色能量和弦线的存在都会放大阴影的大小，从而增加了施瓦茨柴尔德黑洞周围的重力场的强度。使用事件Horizon Telescope（EHT）合作的M87*和SGR A*的数据，我们获得了参数$ a $ a $和$γ$的值的上限。此外，我们看到参数$ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a。我们注意到，在存在弦和精髓云的情况下，排放能的速率更高。此外，我们使用高斯河网定理研究弱挠度角。我们显示了字符串参数$ a $的云和典型参数$γ$对弱偏转角的影响。我们注意到，两个参数$ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ $α$。
In this work, we observe that in the presence of the string cloud parameter $a$ and the quintessence parameter $γ$, with the equation of state parameter $ω_q={-2}/{3}$ the radius of the shadow of the Schwarzschild black hole increases as compared with the pure Schwarzschild black hole case. The existence of both quintessential dark energy and cloud of strings magnify the shadow size and hence the strength of the gravitational field around the Schwarzschild black hole increases. Using the data collected by the Event Horizon Telescope (EHT) collaboration for the M87* and Sgr A*, we obtain upper bounds on the values of the parameters $a$ and $γ$. Further, we see the effects of the parameters $a$ and $γ$ on the rate of emission energy for the Schwarzschild black hole. We notice that the rate of emission energy is higher in the presence of clouds of string and quintessence. Moreover, we study the weak deflection angle using the Gauss-Bonnet theorem. We show the influence of the cloud of string parameter $a$ and the quintessential parameter $γ$ on the weak deflection angle. We notice that both the parameters $a$ and $γ$ increase the deflection angle $α$.
