LEADER 03802nam 22006135 450 001 9910139811903321 005 20200703230036.0 010 $a3-540-45818-2 024 7 $a10.1007/3-540-45818-2 035 $a(CKB)1000000000778017 035 $a(SSID)ssj0000322258 035 $a(PQKBManifestationID)12133507 035 $a(PQKBTitleCode)TC0000322258 035 $a(PQKBWorkID)10283506 035 $a(PQKB)11118662 035 $a(DE-He213)978-3-540-45818-0 035 $a(MiAaPQ)EBC3072186 035 $a(PPN)155213318 035 $a(EXLCZ)991000000000778017 100 $a20121227d2002 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 14$aThe Conformal Structure of Space-Times $eGeometry, Analysis, Numerics /$fedited by Jörg Frauendiener, Helmut Friedrich 205 $a1st ed. 2002. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2002. 215 $a1 online resource (XIV, 374 p.) 225 1 $aLecture Notes in Physics,$x0075-8450 ;$v604 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-44280-4 320 $aIncludes bibliographical references and index. 327 $aConformal 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. 330 $aCausal relations, and with them the underlying null cone or conformal structure, form a basic ingredient in all general analytical studies of asymptotically flat space-time. The present book reviews these aspects from the analytical, geometrical and numerical points of view. Care has been taken to present the material in a way that will also be accessible to postgraduate students and nonspecialist reseachers from related fields. 410 0$aLecture Notes in Physics,$x0075-8450 ;$v604 606 $aGravitation 606 $aPhysics 606 $aClassical and Quantum Gravitation, Relativity Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P19070 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 615 0$aGravitation. 615 0$aPhysics. 615 14$aClassical and Quantum Gravitation, Relativity Theory. 615 24$aMathematical Methods in Physics. 676 $a530.11 702 $aFrauendiener$b Jörg$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aFriedrich$b Helmut$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910139811903321 996 $aThe Conformal Structure of Space-Times$92525318 997 $aUNINA