Cauchy-characteristic Evolution of Einstein-Klein-Gordon Systems: The Black Hole Regime
Abstract
The Cauchy+characteristic matching (CCM) problem for the scalar wave equation is investigated in the background geometry of a Schwarzschild black hole. Previously reported work developed the CCM framework for the coupled Einstein-Klein-Gordon system of equations, assuming a regular center of symmetry. Here, the time evolution after the formation of a black hole is pursued, using a CCM formulation of the governing equations perturbed around the Schwarzschild background. An extension of the matching scheme allows for arbitrary matching boundary motion across the coordinate grid. As a proof of concept, the late time behavior of the dynamics of the scalar field is explored. The power-law tails in both the time-like and null infinity limits are verified.
Keywords
Cite
@article{arxiv.gr-qc/9610076,
title = {Cauchy-characteristic Evolution of Einstein-Klein-Gordon Systems: The Black Hole Regime},
author = {Philippos Papadopoulos and Pablo Laguna},
journal= {arXiv preprint arXiv:gr-qc/9610076},
year = {2009}
}
Comments
To appear in Phys. Rev. D, 9 pages, revtex, 5 figures available at http://www.astro.psu.edu/users/nr/preprints.html