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- Title
The real scalar field in extreme RNdS space.
- Authors
Guanghai Guo; Yuanxing Gui; Jianxiang Tian
- Abstract
Abstract The real scalar field equation between the outer black hole horizon and the cosmological horizon is solved in the extreme Reissner-Nordström de Sitter (RNdS) space. We use an accurate approximation, the polynomial approximation, to approximate the tortoise coordinate x(r) in order to get the inverse function r = r(x) and then to solve the wave equation. The case where the two horizons are very close to each other is discussed in detail. We find that the wave function is harmonic only in the very small regions near the horizons, and the amplitude decreases remarkably near the potential peak because of the effect of the potential. Furthermore, it is found that the height of the potential increases as the cosmological constant Λ decreases, and the wave amplitude will decrease more remarkably with less Λ.
- Subjects
SCALAR field theory; INVERSE functions; CALCULUS of tensors; MATHEMATICAL physics
- Publication
General Relativity & Gravitation, 2005, Vol 37, Issue 7, p1323
- ISSN
0001-7701
- Publication type
Article
- DOI
10.1007/s10714-005-0115-y