Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2010-07-22
Rev. Mex. Fis.56:456-468, 2010
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
16 revtex4 pages, 32 eps figures, may work as an educative paper
Scientific paper
In this paper we present in detail the numerical solution of the conformally invariant wave equation on top of a fixed background space-time corresponding to two different cases: i) 1+1 Minkowski space-time in Cartesian coordinates and ii) Schwarzschild space-time. In both cases we use hyperboloidal constant mean curvature slices and scri-fixing conformal compactification, and solve the wave equation on the conformal space-time. In the case of the Schwarzschild space-time we study the quasinormal mode oscillations and the late-time polynomial tail decay exponents corresponding to a mass-less scalar field. We also present general formulas to construct hyperboloidal constant mean curvature slicings of spherically symmetric, static, space-times in spherical coordinates.
Cruz-Osorio A.
Gonzalez-Juarez A.
Guzman Siddharta F.
Lora-Clavijo F. D.
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