The Conformal Structure of Space-Times 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...
| Other Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2002, 2002
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| Edition: | 1st ed. 2002 |
| Series: | Lecture Notes in Physics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 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