3+1 Formalism in General Relativity: Bases of Numerical Relativity

By Eric Gourgoulhon

Basic Differential Geometry.- Geometry of Hypersurfaces.- Geometry of Foliations.- 3+1 decomposition of Einstein Equation.- 3+1 Equations for Matter and Electromagnetic Field.- Conformal Decompositon.- Asymptotic Flatness and Global Quantities.- The Initial Data Problem.- Choice of Foliation and Spatial Coordiinates.- Evolution Schemes.- Conformal Killing Operator and Conformal Vector Laplacian.- Sage Codes.

• Format: Paperback
• Language: English
• ISBN: 3642245242
• ISBN13: 9783642245244
• Release Date: February 2012
• Publisher: Springer
• Length: 294 Pages
• Weight: 0.88 lbs.
• Dimensions: 0.9" x 6.0" x 9.0"