Numerical solution of the wave equation on particular space-times using CMC slices and scri-fixing conformal compactification

Authors

  • A. Cruz-Osorio
  • A. González-Juárez
  • F.S. Guzmán
  • F.D. Lora-Clavijo

Keywords:

Relativistic wave equations, numerical relativity, black holes

Abstract

In this paper we present 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.

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Published

2010-01-01

How to Cite

[1]
A. Cruz-Osorio, A. González-Juárez, F. Guzmán, and F. Lora-Clavijo, “Numerical solution of the wave equation on particular space-times using CMC slices and scri-fixing conformal compactification”, Rev. Mex. Fís., vol. 56, no. 6, pp. 456–0, Jan. 2010.