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

• 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: Gravitation.; Physics.; Classical and Quantum Gravitation, Relativity Theory.; Mathematical Methods in Physics.

 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. 

 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.