中国物理B ›› 2010, Vol. 19 ›› Issue (11): 110403-110506.doi: 10.1088/1674-1056/19/11/110403

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Real scalar field scattering in the nearly extremal Schwarzschildben de Sitter space

郭广海   

  1. School of Mathematics and Physics, Qingdao University of Science and Technology, Qingdao 266061, China
  • 收稿日期:2010-04-12 修回日期:2010-05-06 出版日期:2010-11-15 发布日期:2010-11-15
  • 基金资助:
    Project supported by Doctoral Fund of QUST (Grant No. 0022171).

Real scalar field scattering in the nearly extremal Schwarzschildben--de Sitter space

Guo Guang-Hai(郭广海)   

  1. School of Mathematics and Physics, Qingdao University of Science and Technology, Qingdao 266061, China
  • Received:2010-04-12 Revised:2010-05-06 Online:2010-11-15 Published:2010-11-15
  • Supported by:
    Project supported by Doctoral Fund of QUST (Grant No. 0022171).

摘要: Reasonable approximations are introduced to investigate the real scalar field scattering in the nearly extremal Schwarzschild--de Sitter (SdS) space. The approximations naturally lead to the invertible x(r) and the global replacement of the true potential by a P?shl--Teller one. Meanwhile, the Schr?dinger-like wave equation is transformed into a solvable form. Our numerical solutions to the wave equation show that the wave is characteristically similar to the harmonic under the tortoise coordinate x, while the wave piles up near the two horizons and the wavelength tends to its maximum as the potential approaches to the peak under the radial coordinate r.

Abstract: Reasonable approximations are introduced to investigate the real scalar field scattering in the nearly extremal Schwarzschild–de Sitter (SdS) space. The approximations naturally lead to the invertible x(r) and the global replacement of the true potential by a P?shl–Teller one. Meanwhile, the Schr$\ddot{\rm o}$dinger-like wave equation is transformed into a solvable form. Our numerical solutions to the wave equation show that the wave is characteristically similar to the harmonic under the tortoise coordinate x, while the wave piles up near the two horizons and the wavelength tends to its maximum as the potential approaches to the peak under the radial coordinate r.

Key words: scalar field, PÖshl–Teller potential, near extremal SdS space

中图分类号:  (Classical general relativity)

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