论文标题
标量敏感性重力理论中的高维Schwarzschild黑洞
High-dimensional Schwarzschild black holes in scalar-tensor-vector gravity theory
论文作者
论文摘要
我们在标量探测器重力(STVG)中获得了高维的Schwarzschild黑洞解决方案,然后分析与STVG理论偏离一般相对性对事件视野和霍金温度相关的参数$α$的影响。我们通过使用第六阶WKB近似方法和Eikonal限制中的不稳定的无零地测量方法来计算高维施瓦茨柴尔兹雪孔黑洞的无质量标量场扰动的准模式频率。结果表明,参数$α$的增加使标量波衰减缓慢,而时空维度的增加使标量波衰减很快。此外,我们研究了参数$α$对这个高维Schwarzschild STVG黑洞的阴影半径的影响,发现参数的增加$α$会使黑洞阴影半径增加,但是时空尺寸的增加使黑洞阴影半径降低。最后,我们研究了高维Schwarzschild STVG黑洞的能量排放速率,发现参数$α$的增加使蒸发过程的增加使蒸发过程缓慢,而时空维度的增加使过程很快。
We obtain a high-dimensional Schwarzschild black hole solution in the scalar-tensor-vector gravity (STVG), and then analyze the influence of parameter $α$ associated with a deviation of the STVG theory from General Relativity on event horizons and Hawking temperature. We calculate the quasinormal mode frequencies of massless scalar field perturbations for the high-dimensional Schwarzschild STVG black hole by using the sixth-order WKB approximation method and the unstable null geodesic method in the eikonal limit. The results show that the increase of parameter $α$ makes the scalar waves decay slowly, while the increase of the spacetime dimension makes the scalar waves decay fast. In addition, we study the influence of parameter $α$ on the shadow radius of this high-dimensional Schwarzschild STVG black hole and find that the increase of parameter $α$ makes the black hole shadow radius increase, but the increase of the spacetime dimension makes the black hole shadow radius decrease. Finally, we investigate the energy emission rate of the high-dimensional Schwarzschild STVG black hole, and find that the increase of parameter $α$ makes the evaporation process slow, while the increase of the spacetime dimension makes the process fast.