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The Conformal Structure of Space-Times [[electronic resource] ] : Geometry, Analysis, Numerics / / edited by Jörg Frauendiener, Helmut Friedrich



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Titolo: The Conformal Structure of Space-Times [[electronic resource] ] : Geometry, Analysis, Numerics / / edited by Jörg Frauendiener, Helmut Friedrich Visualizza cluster
Pubblicazione: Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2002
Edizione: 1st ed. 2002.
Descrizione fisica: 1 online resource (XIV, 374 p.)
Disciplina: 530.11
Soggetto topico: Gravitation
Physics
Classical and Quantum Gravitation, Relativity Theory
Mathematical Methods in Physics
Persona (resp. second.): FrauendienerJörg
FriedrichHelmut
Note generali: Bibliographic Level Mode of Issuance: Monograph
Nota di bibliografia: Includes bibliographical references and index.
Nota di contenuto: 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.
Sommario/riassunto: 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.
Titolo autorizzato: The Conformal Structure of Space-Times  Visualizza cluster
ISBN: 3-540-45818-2
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 996466708103316
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Serie: Lecture Notes in Physics, . 0075-8450 ; ; 604