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The Conformal Structure of Space-Times

  • Fester Einband
  • 392 Seiten
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Causal relations, and with them the underlying null cone or conformal structure, form a basic ingredient in all general analytical... Weiterlesen
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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.

Bridges the gap between advanced textbook material and research publications

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.


Titel: The Conformal Structure of Space-Times
Untertitel: Geometry, Analysis, Numerics
EAN: 9783540442806
ISBN: 3540442804
Format: Fester Einband
Herausgeber: Springer Berlin Heidelberg
Anzahl Seiten: 392
Gewicht: 752g
Größe: H241mm x B160mm x T27mm
Jahr: 2002
Auflage: 2002

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