The Real Scalar Field in Schwarzschild-de Sitter Spacetime

Details The Real Scalar Field in Schwarzschild-de Sitter Spacetime The Real Scalar Field in Schwarzschild-de Sitter Spacetime

2003-04-02

arxiv.org/abs/gr-qc/0304009v2

Gen.Rel.Grav. 35 (2003) 1473-1480

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, 5 figures. To be published in volume 35(2003), G.R.G

Scientific paper

In this paper, the real scalar field equation in Schwarzschild-de Sitter spacetime is solved numerically with high precision. A method called polynomial approximation is introduced to derive the relation between the tortoise coordinate x and the radius r. This method is different from the tangent approximation [1] and leads to more accurate result. The Nariai black hole is then discussed in details. We find that the wave function is harmonic only near the horizons as I. Brevik and B. Simonsen [1] found. Howerver the wave function is not harmonic in the region of the potential peak, with amplitude increasing instead. Furthermore, we also find that, when cosmological constant decreases, the potential peak increases, and the maximum wave amplitude increases.

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