论文标题
通过两个准环和延迟行为的两个阶段的共形Weyl重力
Conformal Weyl gravity via two stages of quasinormal ringing and late-time behavior
论文作者
论文摘要
共形Weyl重力中的黑洞（BH）溶液是Schwarzschild时空的概括，其中包括两个在集成引力场的三阶微分方程时出现的另外常数。一个常数看起来像是提供溶液渐近的有效宇宙常数。另一个常数允许一个人描述星系的平坦旋转，而无需引入暗物质。在这里，我们表明，公制函数中有效的“暗物质”项会大大改变标量场波函数演变的渐近行为：在Schwarzschild的铃声阶段（在类似非Schwarzschildian的另一个非Schwarzschildian）的铃声之后，持续时间较长的频率发生在指定级别的呈指数渐近尾巴之前。因此，标量场的演变由三个质量不同的阶段组成：施瓦兹柴尔兹奇数般的振铃阶段，有效的暗物质振铃阶段和以指数尾巴为特征的DE Sitter阶段。电磁场的晚期行为在质上也有所不同：即使没有有效的DE Sitter项，指数尾巴也会出现。
Black hole (BH) solution in the conformal Weyl gravity is a generalization of the Schwarzschild spacetime which includes two additional constants appearing when integrating the third order differential equations for gravitational field. One constant looks like the effective cosmological constant providing the de Sitter asymptotic of the solution. The other constant allows one to describe flat rotation of galaxies without introducing of the dark matter. Here we show that the effective "dark matter" term in the metric function drastically changes the asymptotic behavior of the evolution of the wave function of a scalar field: after the Schwarzschild-like ringing phase, the ringing at another, non-Schwarzschildian, longer-lived frequency takes place before the beginning of the exponential asymptotic tail. Thus the evolution of the scalar field consists of the three qualitatively different stages: the Schwarzschild-like ringing phase, the effective dark matter ringing phase and the de Sitter phase characterized by exponential tails. The late time behavior of the electromagnetic field is qualitatively different as well: the exponential tails appear even in the absence of the effective de Sitter term.
