Cauchy-characteristic matching

Details Cauchy-characteristic matching Cauchy-characteristic matching

1998-01-20

arxiv.org/abs/gr-qc/9801070v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

27 pages. To appear in "On the Black Hole Trail" eds. Bala Iyer and Biplab Bhawal (Kluwer)

Scientific paper

This paper gives a detailed pedagogic presentation of the central concepts underlying a new algorithm for the numerical solution of Einstein's equations for gravitation. This approach incorporates the best features of the two leading approaches to computational gravitation, carving up spacetime via Cauchy hypersurfaces within a central worldtube, and using characteristic hypersurfaces in its exterior to connect this region with null infinity and study gravitational radiation. It has worked well in simplified test problems, and is currently being used to build computer codes to simulate black hole collisions in 3-D.

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