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001 978-3-540-45818-0
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020 _a9783540458180
_9978-3-540-45818-0
024 7 _a10.1007/3-540-45818-2
_2doi
050 4 _aQC178
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072 7 _aPHDV
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072 7 _aPHR
_2thema
082 0 4 _a530.1
_223
245 1 4 _aThe Conformal Structure of Space-Time
_h[electronic resource] :
_bGeometry, Analysis, Numerics /
_cedited by Jörg Frauendiener, Helmut Friedrich.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2002.
300 _aXIV, 374 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Physics,
_x0075-8450 ;
_v604
505 0 _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.
520 _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.
650 0 _aMathematical physics.
650 1 4 _aClassical and Quantum Gravitation, Relativity Theory.
_0http://scigraph.springernature.com/things/product-market-codes/P19070
650 2 4 _aMathematical Methods in Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19013
700 1 _aFrauendiener, Jörg.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aFriedrich, Helmut.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642079252
776 0 8 _iPrinted edition:
_z9783540442806
776 0 8 _iPrinted edition:
_z9783662143537
830 0 _aLecture Notes in Physics,
_x0075-8450 ;
_v604
856 4 0 _uhttps://doi.org/10.1007/3-540-45818-2
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