The Conformal Structure of Space-Times

Geometry, Analysis, Numerics

Jörg Frauendiener, Helmut Friedrich (Herausgeber)

Buch | Softcover

XIV, 374 Seiten

2010 | Softcover reprint of the original 1st ed. 2002
Springer Berlin (Verlag)
9783642079252 (ISBN)

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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.

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.

Erscheint lt. Verlag	9.12.2010
Reihe/Serie	Lecture Notes in Physics
Zusatzinfo	XIV, 374 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	585 g
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Astronomie / Astrophysik
	Naturwissenschaften ► Physik / Astronomie ► Relativitätstheorie
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
Schlagworte	algorithms • Black Holes • differential equation • Geometry • Grad • Mathematica • Numerics • partial differential equation
ISBN-13	9783642079252 / 9783642079252
Zustand	Neuware