Real scalar field scattering with polynomial approximation around Schwarzschild-de Sitter black-hole

• 来源期刊: 中国物理B（英文版）
• 关键词: Hawking radiation scalar field polynomial approximation boundary conditions
• 年，卷（期）: 2008,（5）
• 页码范围: 1633-1639
• 页数: 7页
• 语种: 英文

摘要

As one of the fitting methods,the polynomial approximation is effective to process sophisticated problem.In this paper,we employ this approach to handle the scattering of scalar field around the Schwarzschild-de Sitter blackhole.The complicated relationship between tortoise coordinate and radial coordinate is replaced by the approximatepolynomial.The SchrSdinger-like equation,the real boundary conditions and the polynomial approximation constructa full Sturm-Liouville type problem.Then this boundary value problem can be solved numerically for two limitingcases:the first one is the Nariai black-hole whose horizons are close to each other,the second one is the black-hole withthe horizons widely separated.Compared with previous results (Brevik and Tian),the field near the event horizon andcosmological horizon can have a better description.