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Article Dans Une Revue Classical and Quantum Gravity Année : 2008

TOPICAL REVIEW: From geometry to numerics: interdisciplinary aspects in mathematical and numerical relativity

Résumé

This paper 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 in light of the interaction between numerical and mathematical relativists.

Dates et versions

hal-03786238 , version 1 (23-09-2022)

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José Luis Jaramillo, Juan Antonio Valiente Kroon, Éric Gourgoulhon. TOPICAL REVIEW: From geometry to numerics: interdisciplinary aspects in mathematical and numerical relativity. Classical and Quantum Gravity, 2008, 25, pp.3001. ⟨10.1088/0264-9381/25/9/093001⟩. ⟨hal-03786238⟩
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