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

2007/12/31 by José Luis Jaramillo, J. L. Jaramillo, Juan A. Valiente Kroon +3 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Pulsars and Gravitational Waves Research #gr-qc

paper · pdf · doi:10.1088/0264-9381/25/9/093001

published as Class.Quant.Grav.25:093001,2008 · 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

arxiv created 2008/01/30 · openalex publication_date 2008/04/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

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.

Citations

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