5维Ricci平坦SdS黑弦空间中Nariai情形标量场的多项式逼近数值解
The Numerical Solution of Scalar Field for Nariai Case in 5D Ricci-flat SdS Black String Space with Polynomial Approximation
摘要：
作为高维黑洞的一个精确候选者，5D Ricci平坦Schwarzschild-de Sitter黑弦空间呈现出一些有趣的现象。本文用多项式近似方法给出了Nariai黑洞周围实标量场的数值解。与以前的正切近似不同，这个拟合函数在领先的中间区域进行了完美的匹配，并在事件和宇宙学视界附近给出了很好的描述。从结果中我们可以看出，这种波与乌龟坐标的谐波很接近。此外，对于实际径向坐标，波在两个层位附近几乎相等地堆积。
英文摘要：
As one exact candidate of the higher dimensional black hole, the 5D Ricci-flat Schwarzschild-de Sitter black string space presents something interesting. In this paper, we give a numerical solution to the real scalar field around the Nariai black hole by the polynomial approximation. Unlike the previous tangent approximation, this fitting function makes a perfect match in the leading intermediate region and gives a good description near both the event and the cosmological horizons. We can read from our results that the wave is close to a harmonic one with the tortoise coordinate. Furthermore, with the actual radial coordinate the waves pile up almost equally near the both horizons.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
