The Conformal Structure of Space-Times

Geometry, Analysis, Numerics
Herausgegeben:Frauendiener, Jörg; Friedrich, Helmut

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Lecture Notes in Physics 604
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-642-07925-2
• Softcover reprint of the original 1st ed. 2002
• Seitenzahl: 392
• Erscheinungstermin: 9. Dezember 2010
• Englisch
• Abmessung: 235mm x 155mm x 22mm
• Gewicht: 593g
• ISBN-13: 9783642079252
• ISBN-10: 3642079253
• Artikelnr.: 32056327

Inhaltsangabe

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.