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

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

2007-12-14

arxiv.org/abs/0712.2332v2

Class.Quant.Grav.25:093001,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Topical review commissioned by Classical and Quantum Gravity. Discussion inspired by the workshop "From Geometry to Numerics"

Scientific paper

10.1088/0264-9381/25/9/093001

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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