中国物理B ›› 2008, Vol. 17 ›› Issue (5): 1633-1639.doi: 10.1088/1674-1056/17/5/018

• GENERAL • 上一篇    下一篇

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

刘墨林, 刘宏亚, 张敬飞, 于 飞   

  1. School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116024, China
  • 收稿日期:2007-09-11 修回日期:2007-12-12 出版日期:2008-05-20 发布日期:2008-05-20
  • 基金资助:
    Project supported by the National Basic Research Program of China (Grant No 2003CB716300) and National Natural Science Foundation of China (Grant No 10573003).

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

Liu Mo-Lin(刘墨林)†, Liu Hong-Ya(刘宏亚), Zhang Jing-Fei(张敬飞), and Yu Fei(于飞)   

  1. School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116024, China
  • Received:2007-09-11 Revised:2007-12-12 Online:2008-05-20 Published:2008-05-20
  • Supported by:
    Project supported by the National Basic Research Program of China (Grant No 2003CB716300) and National Natural Science Foundation of China (Grant No 10573003).

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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 black-hole. The complicated relationship between tortoise coordinate and radial coordinate is replaced by the approximate polynomial. The Schr?dinger-like equation, the real boundary conditions and the polynomial approximation construct a full Sturm--Liouville type problem. Then this boundary value problem can be solved numerically for two limiting cases: the first one is the Nariai black-hole whose horizons are close to each other, the second one is the black-hole with the horizons widely separated. Compared with previous results (Brevik and Tian), the field near the event horizon and cosmological horizon can have a better description.

Abstract: 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 black-hole. The complicated relationship between tortoise coordinate and radial coordinate is replaced by the approximate polynomial. The Schr?dinger-like equation, the real boundary conditions and the polynomial approximation construct a full Sturm--Liouville type problem. Then this boundary value problem can be solved numerically for two limiting cases: the first one is the Nariai black-hole whose horizons are close to each other, the second one is the black-hole with the horizons widely separated. Compared with previous results (Brevik and Tian), the field near the event horizon and cosmological horizon can have a better description.

Key words: Hawking radiation, scalar field, polynomial approximation, boundary conditions

中图分类号:  (Quantum aspects of black holes, evaporation, thermodynamics)

  • 04.70.Dy
97.60.Lf (Black holes) 98.80.Es (Observational cosmology (including Hubble constant, distance scale, cosmological constant, early Universe, etc))