Novel finite-differencing techniques for numerical relativity: application to black hole excision

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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4 pages, RevTex, 2 figures

Scientific paper

10.1088/0264-9381/20/20/102

We use rigorous techniques from numerical analysis of hyperbolic equations in
bounded domains to construct stable finite-difference schemes for Numerical
Relativity, in particular for their use in black hole excision. As an
application, we present 3D simulations of a scalar field propagating in a
Schwarzschild black hole background.

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