论文标题
通过观察其阴影来确定球形黑洞的参数
Determining parameters of a spherical black hole with a thin accretion disk by observing its shadow
论文作者
论文摘要
我们在一般相对论（即Schwarzschild黑洞）中重新审视了球形对称黑洞的经典系统，该系统被几何薄的积聚磁盘包围。我们的目的是仅通过观察积聚磁盘和黑洞的阴影来检查该系统是否可以确定该系统的三个参数（即黑洞质量$ M $，黑洞和观察者$ r_O $，倾斜角$ $）。我们的分析中的一点是允许$ r_o $是有限的，这在大多数相关研究中将是无限的。首先，结果表明，从阴影的大小和形状来看，$ m/r_o $ $是所谓的角度重力半径，其中$（r_o/m，i）$的值。然后，结果表明，如果其他人通过任何独立的理论或观察方法分别知道积分率$ \ dot {m} $（分别为$ m $），则可以确定$（m，r_o，i）$的值[分别是$（\ dot {m}，r_O，i），r_O，i，i）$，在没有proveneracy的情况下。
We revisit the classic system of a spherically symmetric black hole in general relativity (i.e., a Schwarzschild black hole) surrounded by a geometrically thin accretion disk. Our purpose is to examine whether one can determine three parameters of this system (i.e., black hole mass $M$, distance between the black hole and an observer $r_o$, inclination angle $i$) solely by observing the accretion disk and the black hole shadow. A point in our analysis is to allow $r_o$ to be finite, which is set to be infinite in most relevant studies. First, it is shown that one can determine the values of $(r_o/M, i)$, where $M/r_o$ is the so-called angular gravitational radius, from the size and shape of shadow. Then, it is shown that if one additionally knows the accretion rate $\dot{M}$ (respectively, mass $M$) by any independent theoretical or observational approach, one can determine the values of $(M, r_o, i)$ [respectively, $(\dot{M}, r_o, i)$] without degeneracy, in principle, from the value of flux at any point on the accretion disk.
