The Conformal Structure of Space-Times
Geometry, Analysis, Numerics
Published on 10. December 2002
Book
Hardback
XIV, 374 pages
978-3-540-44280-6 (ISBN)
Description
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.
More details
Series
Edition
2002 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
XIV, 374 p.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 27 mm
Weight
752 gr
ISBN-13
978-3-540-44280-6 (9783540442806)
DOI
10.1007/3-540-45818-2
Schweitzer Classification
Other editions
Additional editions
Jörg Frauendiener | Helmut Friedrich
The Conformal Structure of Space-Times
Geometry, Analysis, Numerics
Book
12/2010
Springer
€106.99
Shipment within 7-9 days
Jörg Frauendiener | Helmut Friedrich
The Conformal Structure of Space-Times
Geometry, Analysis, Numerics
E-Book
01/2008
Springer
€96.29
Available for download
Content
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.