Numerical solution of the wave equation on particular space-times using CMC slices and scri-fixing conformal compactification
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...
| Autores: | , , , |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2010 |
| País: | México |
| Institución: | Universidad Michoacana de San Nicolás de Hidalgo |
| Repositorio: | Redalyc-UMSNH |
| OAI Identifier: | oai:redalyc.org:57019194005 |
| Acceso en línea: | https://www.redalyc.org/articulo.oa?id=57019194005 |
| Access Level: | acceso abierto |
| Palabra clave: | Física, Astronomía y Matemáticas black holes numerical relativity Relativistic wave equations |
| Sumario: | 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. |
|---|