The Conformal Structure of Space-Times Geometry, Analysis, Numerics /

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 p...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Άλλοι συγγραφείς: Frauendiener, Jörg (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt), Friedrich, Helmut (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2002.
Έκδοση:1st ed. 2002.
Σειρά:Lecture Notes in Physics, 604
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
Πίνακας περιεχομένων:
  • 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.