Cauchy-characteristic Evolution of Einstein-Klein-Gordon Systems: The Black Hole Regime

Details Cauchy-characteristic Evolution of Einstein-Klein-Gordon Systems: The Black Hole Regime Cauchy-characteristic Evolution of Einstein-Klein-Gordon Systems: The Black Hole Regime

1996-10-31

arxiv.org/abs/gr-qc/9610076v1

Phys.Rev. D55 (1997) 2038-2043

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

To appear in Phys. Rev. D, 9 pages, revtex, 5 figures available at http://www.astro.psu.edu/users/nr/preprints.html

Scientific paper

10.1103/PhysRevD.55.2038

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.

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