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020 _a9783540334842
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024 7 _a10.1007/b11550259
_2doi
050 4 _aQC178
050 4 _aQC173.5-173.65
072 7 _aPHDV
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072 7 _aSCI033000
_2bisacsh
072 7 _aPHDV
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072 7 _aPHR
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082 0 4 _a530.1
_223
245 1 0 _aAnalytical and Numerical Approaches to Mathematical Relativity
_h[electronic resource] /
_cedited by Jörg Frauendiener, Domenico J.W. Giulini, Volker Perlick.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2006.
300 _aXVII, 281 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
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347 _atext file
_bPDF
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490 1 _aLecture Notes in Physics,
_x0075-8450 ;
_v692
505 0 _aDifferential Geometry and Differential Topology -- A Personal Perspective on Global Lorentzian Geometry -- The Space of Null Geodesics (and a New Causal Boundary) -- Some Variational Problems in Semi-Riemannian Geometry -- On the Geometry of pp-Wave Type Spacetimes -- Analytical Methods and Differential Equations -- Concepts of Hyperbolicity and Relativistic Continuum Mechanics -- Elliptic Systems -- Mathematical Properties of Cosmological Models with Accelerated Expansion -- The Poincaré Structure and the Centre-of-Mass of Asymptotically Flat Spacetimes -- Numerical Methods -- Computer Simulation – a Tool for Mathematical Relativity – and Vice Versa -- On Boundary Conditions for the Einstein Equations -- Recent Analytical and Numerical Techniques Applied to the Einstein Equations -- Some Mathematical Problems in Numerical Relativity.
520 _aToday, general relativity rates among the most accurately tested fundamental theories in all of physics. However, deficiencies in our mathematical and conceptual understanding still exist, and these partly hamper further progress. For this reason alone, but no less important from the point of view that a theory-based prediction should be regarded as no better than one's own structural understanding of the underlying theory, one should undertake serious investigations into the corresponding mathematical issues. This book contains a representative collection of surveys by experts in mathematical relativity writing about the current status of, and problems in, their fields. There are four contributions for each of the following mathematical areas: differential geometry and differential topology, analytical methods and differential equations, and numerical methods. This book addresses graduate students and specialist researchers alike.
650 0 _aMathematical physics.
650 0 _aGlobal differential geometry.
650 0 _aCell aggregation
_xMathematics.
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
650 2 4 _aDifferential Geometry.
_0http://scigraph.springernature.com/things/product-market-codes/M21022
650 2 4 _aManifolds and Cell Complexes (incl. Diff.Topology).
_0http://scigraph.springernature.com/things/product-market-codes/M28027
650 2 4 _aNumerical and Computational Physics, Simulation.
_0http://scigraph.springernature.com/things/product-market-codes/P19021
700 1 _aFrauendiener, Jörg.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aGiulini, Domenico J.W.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aPerlick, Volker.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642068195
776 0 8 _iPrinted edition:
_z9783540819288
776 0 8 _iPrinted edition:
_z9783540310273
830 0 _aLecture Notes in Physics,
_x0075-8450 ;
_v692
856 4 0 _uhttps://doi.org/10.1007/b11550259
912 _aZDB-2-PHA
912 _aZDB-2-LNP
999 _c10065
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