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...
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| Other Authors: | , |
| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; New York :
Springer,
[2002]
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| Series: | Lecture notes in physics ;
604. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- Conformal Einstein Evolution
- Some Global Results for Asymptotically Simple Space-Times
- Black Holes
- Conformal Geometry, Differential Equations and Associated Transformation
- Twistor Geometry of Conformal Infinity
- Isotropic Cosmological Singularities
- Polyhomogeneous Expansion Close to Null and Spatial Infinity
- Asymptotically Flat and Regular Cauchy Data
- Construction for Hyperboloidal Initial Data
- Exploring the Conformal Constraint Equations
- Criterial for (in)finite Extent of Static Perfect Fluids
- Problems and Successes in the Numerical Approach to the Conformal Field Equations
- On 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 Variable
- Null Infinity in the Null Quasispherical Gauge
- Local Characteristic Algorithms for Relativistic Hydrodynamics. Simulations of Generic Singularities in Harmonic Coordinates.