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Friedrich / Frauendiener

The Conformal Structure of Space-Times

Geometry, Analysis, Numerics

Medium: Buch
ISBN: 978-3-540-44280-6
Verlag: Springer Berlin Heidelberg
Erscheinungstermin: 10.12.2002
Lieferfrist: bis zu 10 Tage
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.

Produkteigenschaften


  • Artikelnummer: 9783540442806
  • Medium: Buch
  • ISBN: 978-3-540-44280-6
  • Verlag: Springer Berlin Heidelberg
  • Erscheinungstermin: 10.12.2002
  • Sprache(n): Englisch
  • Auflage: 2002
  • Serie: Lecture Notes in Physics
  • Produktform: Gebunden, HC runder Rücken kaschiert
  • Gewicht: 1600 g
  • Seiten: 374
  • Format (B x H x T): 160 x 241 x 27 mm
  • Ausgabetyp: Kein, Unbekannt

Autoren/Hrsg.

Herausgeber

Friedrich, Helmut

Frauendiener, Jörg

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.