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OverviewFull Product DetailsAuthor: Éric GourgoulhonPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: 2012 Volume: 846 Dimensions: Width: 15.50cm , Height: 1.60cm , Length: 23.50cm Weight: 0.480kg ISBN: 9783642245244ISBN 10: 3642245242 Pages: 294 Publication Date: 29 February 2012 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of ContentsBasic Differential Geometry.- Geometry of Hypersurfaces.- Geometry of Foliations.- 3+1 decomposition of Einstein Equation.- 3+1 Equations for Matter and Electromagnetic Field.- Conformal Decompositon.- Asymptotic Flatness and Global Quantities.- The Initial Data Problem.- Choice of Foliation and Spatial Coordiinates.- Evolution Schemes.- Conformal Killing Operator and Conformal Vector Laplacian.- Sage Codes.ReviewsFrom the reviews: The monograph originating from lectures is devoted to the 3+1 formalism in general relativity. It starts with three chapters on basic differential geometry, the geometry of single hypersurfaces embedded in space-time, and the foliation of space-time by a family of spacelike hypersurfaces. ... With the attempt to make the text self-consistent and complete, the calculations are ... detailed such that the book is well suitable for undergraduate and graduate students. (Horst-Heino von Borzeszkowski, Zentralblatt MATH, Vol. 1254, 2013) From the reviews: The monograph originating from lectures is devoted to the 3+1 formalism in general relativity. It starts with three chapters on basic differential geometry, the geometry of single hypersurfaces embedded in space-time, and the foliation of space-time by a family of spacelike hypersurfaces. ... With the attempt to make the text self-consistent and complete, the calculations are ... detailed such that the book is well suitable for undergraduate and graduate students. (Horst-Heino von Borzeszkowski, Zentralblatt MATH, Vol. 1254, 2013) This book is written for advanced students and researchers who wish to learn the mathematical foundations of various approaches that have been proposed to solve initial value problems (with constraints) for the Einstein equations numerically. ... Even for experts it may be useful, as it includes an extensive bibliography up to 2011. (Hans-Peter Kunzle, Mathematical Reviews, January, 2013) Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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