The real scalar field in extreme RNdS space

Details The real scalar field in extreme RNdS space The real scalar field in extreme RNdS space

Jul 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005gregr..37.1323g&link_type=abstract

General Relativity and Gravitation, Volume 37, Issue 7, pp.1323-1330

Mathematics

Logic

1

Real Scalar Field, Rnds Space

Scientific paper

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.

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