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

Autor:	Jaramillo, J. L., Kroon, J. A. Valiente, Gourgoulhon, E.
Rok vydání:	2007
Předmět:	General Relativity and Quantum Cosmology
Zdroj:	Class.Quant.Grav.25:093001,2008
Druh dokumentu:	Working Paper
DOI:	10.1088/0264-9381/25/9/093001
Popis:	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. Comment: Topical review commissioned by Classical and Quantum Gravity. Discussion inspired by the workshop "From Geometry to Numerics" (Paris, 20-24 November, 2006), part of the "General Relativity Trimester" at the Institut Henri Poincare (Fall 2006). Comments and references added. Typos corrected. Submitted to Classical and Quantum Gravity
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0712.2332 Zobrazit plný text záznamu View this record from Arxiv