The conformal structure of space-time : geometry, analysis, numerics
Causal relations, and with them the underlying null cone or conformal structure, form a basic ingredient in all general analytical studies of asymptotically flat space-time. The present book reviews these aspects from the analytical, geometrical and numerical points of view. Care has been taken to p...
Enregistré dans:
| Autres auteurs: | , |
|---|---|
| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Collection: | Lecture notes in physics
604 |
| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • The conformal structure of space-time, geometry, analysis, numerics, J. Frauendiener, H. Friedrich (eds.), New York, Springer, 2002, 1 volume (XIV-373 p.), Lecture notes in physics, 3-540-44280-4 • The Conformal Structure of Space-Times, Texte imprimé, 9783642079252 • The Conformal Structure of Space-Times, Texte imprimé, 9783662143537 |
Table des matières:
- Conformal Einstein Evolution
- Some Global Results for Asymptotically Simple Space-Times
- Black Holes
- Conformal Geometry, Differential Equations and Associated Transformations
- Twistor Geometry of Conformal Infinity
- Isotropic Cosmological Singularities
- Polyhomogeneous Expansions Close to Null and Spatial Infinity
- Asymptotically Flat and Regular Cauchy Data
- Construction of Hyperboloidal Initial Data
- Exploring the Conformal Constraint Equations
- Criteria for (In)finite Extent of Static Perfect Fluids
- Problems and Successes in the Numerical Approach to the Conformal Field Equations
- Some Aspects of the Numerical Treatment of the Conformal Field Equations
- Data for the Numerical Calculation of the Kruskal Space-Time
- Numerics of the Characteristic Formulation in Bondi Variables. Where We Are and What Lies Ahead
- Numerical Experiments at Null Infinity
- Local Characteristic Algorithms for Relativistic Hydrodynamics
- Simulations of Generic Singularities in Harmonic Coordinates
- Some Mathematical and Numerical Questions Connected with First and Second Order Time-Dependent Systems of Partial Differential Equations.