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Real scalar field scattering in the nearly extremal Schwarzschildben--de Sitter space |
| Guo Guang-Hai(郭广海)† |
| School of Mathematics and Physics, Qingdao University of Science and Technology, Qingdao 266061, China |
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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.
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Received: 12 April 2010
Revised: 06 May 2010
Accepted manuscript online:
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PACS:
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04.20.-q
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(Classical general relativity)
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| Fund: Project supported by Doctoral Fund of QUST (Grant No. 0022171). |
Cite this article:
Guo Guang-Hai(郭广海) Real scalar field scattering in the nearly extremal Schwarzschildben--de Sitter space 2010 Chin. Phys. B 19 110403
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