论文标题
广义Ayón-beato-garc \'ıa标量向量重力黑洞中标量tensor-tensor-vector Gravity重力的准标准模式
Quasinormal Modes of the Generalized Ayón-Beato-Garc\'ıa Scalar-Tensor-Vector Gravity Black Hole in the Scalar-Tensor-Vector Gravity
论文作者
论文摘要
我们在标量tensor-vector Gravity中获得了具有非线性张量场$ b_ {μν} $的广义ABG STVG黑洞的解决方案。这个黑洞具有四个参数，即黑洞质量$ $ $，与STVG理论相关的参数$α$以及分别与非线性张量场的偶极子和四极矩相关的两个参数$λ$和$β$。通过分析黑洞的特性，我们发现当$λ\ geqslant 3 $和$β\ geqslant 4 $时，广义ABG STVG黑洞是规律的，并且我们研究了参数$α$，$λ$和$β$的效果。我们通过使用第6阶WKB近似方法并通过Eikonal极限同时使用第6阶WKB近似方法来计算广义ABG STVG黑洞的奇数重力扰动的准模式频率。结果表明，参数的增加$α$和$λ$使得引力波缓慢衰减，而参数$β$的增加使得引力波首先快速衰减，然后缓慢缓慢。此外，我们验证了在eikonal极限处的准频率的实际部分和阴影半径对通用ABG STVG黑洞有效的对应关系。
We obtain the solution of a generalized ABG STVG black hole with the nonlinear tensor field $B_{μν}$ in the scalar-tensor-vector gravity. This black hole is endowed with four parameters, the black hole mass $M$, the parameter $α$ associated with the STVG theory, and the two parameters $λ$ and $β$ that are related to the dipole and quadrupole moments of the nonlinear tensor field, respectively. By analyzing the characteristics of the black hole, we find that the generalized ABG STVG black hole is regular when $λ\geqslant 3$ and $β\geqslant 4$, and we study the effects of the parameters $α$, $λ$ and $β$ on the black hole horizon. We calculate the quasinormal mode frequencies of the odd parity gravitational perturbation for the generalized ABG STVG black hole by using the 6th order WKB approximation method and simultaneously by the null geodesic method at the eikonal limit. The results show that the increase of the parameters $α$ and $λ$ makes the gravitational waves decay slowly, while the increase of the parameter $β$ makes the gravitational waves decay fast at first and then slowly. In addition, we verify that the improved correspondence between the real part of quasinormal frequencies at the eikonal limit and the shadow radius is valid for the generalized ABG STVG black hole.
