论文标题
Bardeen黑洞被完美的流体暗物质包围
Bardeen black hole surrounded by perfect fluid dark matter
论文作者
论文摘要
我们得出了一个由完美流体暗物质（PFDM）包围的球形对称Bardeen黑洞的精确解决方案。通过将磁性电荷$ g $和暗物质参数$α$作为热力学变量，我们发现热力学第一定律和相应的Smarr公式得到了满足。还研究了黑洞的热力学稳定性。结果表明，存在一个临界半径$ r _ {+}^{c} $，其中热容量发散，这表明黑洞在热力学上稳定在$ 0 <r _ {+} <r _ {+} <r _ {+}^{+}^{c} $中。此外，临界半径$ r _ {+}^{c} $随着磁性电荷$ g $的增加而增加，并且随着暗物质参数$α$而减小。应用Newman-Janis算法，我们将球形对称的解决方案推广到相应的旋转黑洞。在手头的度量标准下，研究了视野和巨石。事实证明，对于固定的暗物质参数$α$，在一定范围内，旋转参数$ a $ a $和磁性电荷$ g $的增加，Cauchy Horizon半径增加，而事件视野半径降低。最后，我们研究了penrose工艺的能量提取，以旋转由PFDM包围的Bardeen黑洞。
We derive an exact solution of the spherically symmetric Bardeen black hole surrounded by perfect fluid dark matter (PFDM). By treating the magnetic charge $g$ and dark matter parameter $α$ as thermodynamic variables, we find that the thermodynamic first law and the corresponding Smarr formula are satisfied. The thermodynamic stability of the black hole is also studied. The result show that, there exists a critical radius $r_{+}^{C}$, where the heat capacity diverges, suggesting that the black hole is thermodynamically stable in the range $0<r_{+}<r_{+}^{C}$. In addition, the critical radius $r_{+}^{C}$ increases with the magnetic charge $g$ and decreases with the dark matter parameter $α$. Applying the Newman-Janis algorithm, we generalize the spherically symmetric solution to the corresponding rotating black hole. With the metric at hand, the horizons and ergospheres are studied. It turns out that for a fixed dark matter parameter $α$, in a certain range, with the increase of the rotation parameter $a$ and magnetic charge $g$, the Cauchy horizon radius increases while the event horizon radius decreases. Finally, we investigate the energy extraction by the Penrose process in rotating Bardeen black hole surrounded by PFDM.
