product iamge

The Conformal Structure of Space-Time: Geometry, Analysis, Numerics

This document was uploaded by one of our users. The uploader already confirmed that they had the permission to publish it. If you are author/publisher or own the copyright of this documents, please report to us by using this DMCA report form.

Download
Search on Amazon

Simply click on the Download Book button.

Yes, Book downloads on Ebookily are 100% Free.

Sometimes the book is free on Amazon As well, so go ahead and hit "Search on Amazon"

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.

Author(s): Helmut Friedrich (auth.), Jörg Frauendiener, Helmut Friedrich (eds.)
Series: Lecture Notes in Physics 604
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2002

Language: English
Pages: 374
City: Berlin; New York
Tags: Relativity and Cosmology;Mathematical Methods in Physics

Conformal Einstein Evolution....Pages 1-50
Some Global Results for Asymptotically Simple Space-Times....Pages 51-60
Black Holes....Pages 61-102
Conformal Geometry, Differential Equations and Associated Transformations....Pages 103-112
Twistor Geometry of Conformal Infinity....Pages 113-121
Isotropic Cosmological Singularities....Pages 123-134
Polyhomogeneous Expansions Close to Null and Spatial Infinity....Pages 135-159
Asymptotically Flat and Regular Cauchy Data....Pages 161-181
Construction of Hyperboloidal Initial Data....Pages 183-194
Exploring the Conformal Constraint Equations....Pages 195-222
Criteria for (In)finite Extent of Static Perfect Fluids....Pages 223-237
Problems and Successes in the Numerical Approach to the Conformal Field Equations....Pages 239-259
Some Aspects of the Numerical Treatment of the Conformal Field Equations....Pages 261-282
Data for the Numerical Calculation of the Kruskal Space-Time....Pages 283-295
Numerics of the Characteristic Formulation in Bondi Variables. Where We Are and What Lies Ahead....Pages 297-312
Numerical Experiments at Null Infinity....Pages 313-326
Local Characteristic Algorithms for Relativistic Hydrodynamics....Pages 327-348
Simulations of Generic Singularities in Harmonic Coordinates....Pages 349-358
Some Mathematical and Numerical Questions Connected with First and Second Order Time-Dependent Systems of Partial Differential Equations....Pages 359-370