Numerical Solution of Scalar Field for Nariai Case in 5D Ricci-Flat SdS Black String Space with Polynomial. Approximation

• 来源期刊: 理论物理通讯(英文版)
• 年，卷（期）: 2008,（10）
• 页码范围: 889-892
• 页数: 4页
• 语种: 英文

摘要

As one exact candidate of the higher dimensional black hole, the 519 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.