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arXiv · 0712.2332

From Geometry to Numerics: interdisciplinary aspects in mathematical and numerical relativity

J. L. Jaramillo·J. A. Valiente Kroon·E. Gourgoulhon
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Abstract

This article reviews some aspects in the current relationship between mathematical and numerical General Relativity. Focus is placed on the description of isolated systems, with a particular emphasis on recent developments in the study of black holes. Ideas concerning asymptotic flatness, the initial value problem, the constraint equations, evolution formalisms, geometric inequalities and quasi-local black hole horizons are discussed on the light of the interaction between numerical and mathematical relativists.

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J. L. Jaramillo, J. A. Valiente Kroon, E. Gourgoulhon. 2008-01-30. From Geometry to Numerics: interdisciplinary aspects in mathematical and numerical relativity. https://doi.org/10.1088/0264-9381%2F25%2F9%2F093001

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