Beschreibung
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 present the material in a way that will also be accessible to postgraduate students and nonspecialist reseachers from related fields.
Inhaltsverzeichnis
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.
