The Conformal Structure of Space-Times

J. Frauendiener, H. Friedrich

388 pages, parution le 18/02/2003

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Résumé

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.

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

L'auteur - J. Frauendiener

University of Tübingen, Germany

L'auteur - H. Friedrich

Friedrich Harald Siegfried :
Max-Planck-Institut für Gravitationsphysik, Golm, Germany (Eds.)

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	J. Frauendiener, H. Friedrich
Parution	18/02/2003
Nb. de pages	388
Format	16 x 24
Couverture	Relié
Poids	664g
Intérieur	Noir et Blanc
EAN13	9783540442806