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Scalar field quasinormal modes of noncommutative high dimensional Schwarzschild-Tangherlini black hole spacetime with smeared matter sources
Nuclear Physics B ( IF 2.5 ) Pub Date : 2020-10-16 , DOI: 10.1016/j.nuclphysb.2020.115217
Zening Yan , Chen Wu , Wenjun Guo

We investigate the massless scalar quasinormal modes (QNMs) of the noncommutative D-dimensional Schwarzschild-Tangherlini black hole spacetime in this paper. By using the Wentzel-Kramers-Brillouin (WKB) approximation method, the asymptotic iterative method (AIM) and the inverted potential method (IPM), we made a detail analysis of the massless scalar QNM frequencies by varying the general smeared matter distribution and the allowable characteristic parameters (k and θ) corresponding to different dimensions. It is found that the nonconvergence of the high order WKB approximation exists in the QNMs frequencies of scalar perturbation around the noncommutative D-dimensional Schwarzschild black holes. We conclude that the 3rd WKB result should be more reliable than those of the high order WKB method since our numerical results are also verified by the AIM method and the IPM method. In the dimensional range of 4D7, the scalar QNMs as a function of the different parameters (the noncommutative parameter θ, the smeared matter distribution parameter k, the multipole number l and the main node number n) are obtained. Moreover, we study the dynamical evolution of a scalar field in the background of the noncommutative high dimensional Schwarzschild-Tangherlini black hole.



中文翻译:

具有涂抹物质源的非交换高维Schwarzschild-Tangherlini黑洞时空的标量场拟正态模

我们研究了非交换D维Schwarzschild-Tangherlini黑洞时空的无质量标量准正态模(QNM)。通过使用Wentzel-Kramers-Brillouin(WKB)逼近法,渐近迭代法(AIM)和反向电势法(IPM),我们通过改变一般弥散物质的分布和改变了无质量标量QNM频率。对应于不同尺寸的允许特性参数(kθ)。发现在非交换D周围标量摄动的QNMs频率中存在高阶WKB逼近的非收敛性维Schwarzschild黑洞。我们得出的结论是,由于我们的数值结果也通过AIM方法和IPM方法进行了验证,因此第三次WKB结果应比高阶WKB方法更可靠。在尺寸范围内4d7,获得了作为不同参数(非交换参数θ,污迹分布参数k,多极数l和主节点数n)的函数的标量QNM 。此外,我们研究了非交换高维Schwarzschild-Tangherlini黑洞背景下标量场的动力学演化。

更新日期:2020-10-29
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