03827nam 22006135 450 99646670810331620200703230036.03-540-45818-210.1007/3-540-45818-2(CKB)1000000000778017(SSID)ssj0000322258(PQKBManifestationID)12133507(PQKBTitleCode)TC0000322258(PQKBWorkID)10283506(PQKB)11118662(DE-He213)978-3-540-45818-0(MiAaPQ)EBC3072186(PPN)155213318(EXLCZ)99100000000077801720121227d2002 u| 0engurnn#008mamaatxtccrThe Conformal Structure of Space-Times[electronic resource] Geometry, Analysis, Numerics /edited by Jörg Frauendiener, Helmut Friedrich1st ed. 2002.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2002.1 online resource (XIV, 374 p.)Lecture Notes in Physics,0075-8450 ;604Bibliographic Level Mode of Issuance: Monograph3-540-44280-4 Includes bibliographical references and index.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.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.Lecture Notes in Physics,0075-8450 ;604GravitationPhysicsClassical and Quantum Gravitation, Relativity Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/P19070Mathematical Methods in Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19013Gravitation.Physics.Classical and Quantum Gravitation, Relativity Theory.Mathematical Methods in Physics.530.11Frauendiener Jörgedthttp://id.loc.gov/vocabulary/relators/edtFriedrich Helmutedthttp://id.loc.gov/vocabulary/relators/edtMiAaPQMiAaPQMiAaPQBOOK996466708103316The Conformal Structure of Space-Times2525318UNISA