3+1 Formalism in General Relativity (Record no. 9938)

000 -LEADER
fixed length control field 03806nam a22005055i 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20140304143738.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 120227s2012 gw | s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783642245251
978-3-642-24525-1
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-3-642-24525-1
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QC1-999
072 #7 - SUBJECT CATEGORY CODE
Subject category code PHU
Source bicssc
Subject category code SCI040000
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 530.1
Edition number 23
264 #1 -
-- Berlin, Heidelberg :
-- Springer Berlin Heidelberg,
-- 2012.
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
-- 0075-8450 ;
912 ## -
-- ZDB-2-PHA
-- ZDB-2-LNP
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Gourgoulhon, Eric.
Relator term author.
245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE
Title 3+1 Formalism in General Relativity
Medium [electronic resource] :
Remainder of title Bases of Numerical Relativity /
Statement of responsibility, etc by Eric Gourgoulhon.
300 ## - PHYSICAL DESCRIPTION
Extent XVII, 294p. 29 illus.
Other physical details online resource.
440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE
Title Lecture Notes in Physics,
International Standard Serial Number 0075-8450 ;
Volume number/sequential designation 846
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Basic 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.
520 ## - SUMMARY, ETC.
Summary, etc This graduate-level, course-based text is devoted to the 3+1 formalism of general relativity, which also constitutes the theoretical foundations of numerical relativity. The book starts by establishing the mathematical background (differential geometry, hypersurfaces embedded in space-time, foliation of space-time by a family of space-like hypersurfaces), and then turns to the 3+1 decomposition of the Einstein equations, giving rise to the Cauchy problem with constraints, which constitutes the core of 3+1 formalism. The ADM Hamiltonian formulation of general relativity is also introduced at this stage. Finally, the decomposition of the matter and electromagnetic field equations is presented, focusing on the astrophysically relevant cases of a perfect fluid and a perfect conductor (ideal magnetohydrodynamics). The second part of the book introduces more advanced topics: the conformal transformation of the 3-metric on each hypersurface and the corresponding rewriting of the 3+1 Einstein equations, the Isenberg-Wilson-Mathews approximation to general relativity, global quantities associated with asymptotic flatness (ADM mass, linear and angular momentum) and with symmetries (Komar mass and angular momentum). In the last part, the initial data problem is studied, the choice of spacetime coordinates within the 3+1 framework is discussed and various schemes for the time integration of the 3+1 Einstein equations are reviewed. The prerequisites are those of a basic general relativity course with calculations and derivations presented in detail, making this text complete and self-contained. Numerical techniques are not covered in this book.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Physics.
Topical term or geographic name as entry element Computer science
General subdivision Mathematics.
Topical term or geographic name as entry element Astronomy.
Topical term or geographic name as entry element Physics.
Topical term or geographic name as entry element Numerical and Computational Physics.
Topical term or geographic name as entry element Classical and Quantum Gravitation, Relativity Theory.
Topical term or geographic name as entry element Astronomy, Astrophysics and Cosmology.
Topical term or geographic name as entry element Computational Mathematics and Numerical Analysis.
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9783642245244
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Lecture Notes in Physics,
Volume number/sequential designation 846
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/978-3-642-24525-1
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Item type E-Book
Copies
Price effective from Permanent location Date last seen Not for loan Date acquired Source of classification or shelving scheme Koha item type Damaged status Lost status Withdrawn status Current location Full call number
2014-03-04AUM Main Library2014-03-04 2014-03-04 E-Book   AUM Main Library530.1