Black Hole--Scalar Field Interactions in Spherical Symmetry

We examine the interactions of a black hole with a massless scalar field using a coordinate system which extends ingoing Eddington-Finkelstein coordinates to dynamic spherically symmetric-spacetimes. We avoid problems with the singularity by excising the region of the black hole interior to the appa...

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Bibliographic Details
Published in:arXiv.org 1996-07
Main Authors: Marsa, Robert L, Choptuik, Matthew W
Format: Article
Language:English
Subjects:
Coordinates
Finite difference method
Symmetry
Online Access:Get full text
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Summary:We examine the interactions of a black hole with a massless scalar field using a coordinate system which extends ingoing Eddington-Finkelstein coordinates to dynamic spherically symmetric-spacetimes. We avoid problems with the singularity by excising the region of the black hole interior to the apparent horizon. We use a second-order finite difference scheme to solve the equations. The resulting program is stable and convergent and will run forever without problems. We are able to observe quasi-normal ringing and power-law tails as well an interesting nonlinear feature.
ISSN:2331-8422
DOI:10.48550/arxiv.9607034