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Analytical and numerical approaches to mathematical relativity

Author: J Frauendiener; D Giulini; Volker Perlick; Roger Penrose
Publisher: Berlin ; New York : Springer, ©2006.
Series: Lecture notes in physics, 692.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
"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  Read more...
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Genre/Form: Electronic books
Congrès
Additional Physical Format: Print version:
Analytical and numerical approaches to mathematical relativity.
Berlin ; New York : Springer, ©2006
(DLC) 2005937899
(OCoLC)65166680
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: J Frauendiener; D Giulini; Volker Perlick; Roger Penrose
ISBN: 9783540334842 354033484X 9783540310273 3540310274
OCLC Number: 262692616
Description: 1 online resource (xvii, 278 pages) : illustrations.
Contents: A personal perspective on global Lorentzian geometry / P.E. Ehrlich --
The space of null geodesics (and a new causal boundary) / R.J. Low --
Some variational problems in semi-Riemannian geometry / A. Masiello --
On the geometry of pp-wave type spacetimes / J.L. Flores and M. Sánchez --
Concepts of hyperbolicity and relativistic continuum mechanics / R. Beig --
Elliptic systems / S. Dain --
Mathematical properties of cosmological models with accelerated expansion / A.D. Rendall --
The Poincaré structure and the centre-of-mass of asymptotically flat spacetimes / L.B. Szabados --
Computer simulation : a tool for mathematical relativity --
and vice versa / B.K. Berger --
On boundary conditions for the Einstein equations / S. Fritelli and R. Gómez --
Recent analytical and numerical techniques applied to the Einstein equations / D. Neilsen [and others] --
Some mathematical problems in numerical relativity / M. Babiuc, B. Szilágyi, J. Winicour.
Series Title: Lecture notes in physics, 692.
Responsibility: Jörg Frauendiener, Domenico J.W. Giulini, Volker Perlick (eds.) ; with a foreword by Roger Penrose.

Abstract:

General relativity ranks among the most accurately tested fundamental theories in all of physics. Deficiencies in mathematical and conceptual understanding still exist, hampering further progress.  Read more...

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From the reviews: "The 319th Wilhelm-and-Else-Heraeus Seminar 'Mathematical Relativity: New Ideas and Developments' took place in March 2004. Twelve of the invited speakers have expanded their one Read more...

 
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