On the relation between mathematical and numerical relativity

Abstract

The large scale binary black hole effort in numerical relativity has led to an increasing distinction between numerical and mathematical relativity. This note discusses this situation and gives some examples of succesful interactions between numerical and mathematical methods is general relativity.

12 pages

References in corpus (4)

• Analytic description of singularities in Gowdy spacetimes
• Introduction to dynamical horizons in numerical relativity
• On the Formation of Singularities in the Critical O(3) Sigma-Model
• The red-shift effect and radiation decay on black hole spacetimes

Cited by in corpus (4)

• Spacelike Singularities and Hidden Symmetries of Gravity
• Present status of the Penrose inequality
• From Geometry to Numerics: interdisciplinary aspects in mathematical and numerical relativity
• Cosmology using numerical relativity