Authors: J.L. Jaramillo, J.A. Valiente Kroon, E. Gourgoulhon
Date: 14 Dec 2007
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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Tantum in modicis, quantum in maximis