The Resource Group theory and general relativity : representations of the Lorentz group and their applications to the gravitational field, Moshe Carmeli
Group theory and general relativity : representations of the Lorentz group and their applications to the gravitational field, Moshe Carmeli
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The item Group theory and general relativity : representations of the Lorentz group and their applications to the gravitational field, Moshe Carmeli represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of MissouriSt. Louis Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Group theory and general relativity : representations of the Lorentz group and their applications to the gravitational field, Moshe Carmeli represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of MissouriSt. Louis Libraries.
This item is available to borrow from 1 library branch.
 Summary
 This is the only book on the subject of group theory and Einstein's theory of gravitation. It contains an extensive discussion on general relativity from the viewpoint of group theory and gauge fields. It also puts together in one volume many scattered, original works, on the use of group theory in general relativity theory. There are twelve chapters in the book. The first six are devoted to rotation and Lorentz groups, and their representations. They include the spinor representation as well as the infinitedimensional representations. The other six chapters deal with the application of groups  particularly the Lorentz and the SL(2, C) groups  to the theory of general relativity. Each chapter is concluded with a set of problems. The topics covered range from the fundamentals of general relativity theory, its formulation as an SL(2, C) gauge theory, to exact solutions of the Einstein gravitational field equations. The important BondiMetznerSachs group, and its representations, conclude the book. The entire book is selfcontained in both group theory and general relativity theory, and no prior knowledge of either is assumed. The subject of this book constitutes a relevant link between field theoreticians and general relativity theoreticians, who usually work rather independently of each other. The treatise is highly topical and of real interest to theoretical physicists, general relativists and applied mathematicians. It is invaluable to graduate students and research workers in quantum field theory, general relativity and elementary particle theory
 Language
 eng
 Extent
 1 online resource (xviii, 391 pages)
 Note
 Originally published: New York : McGrawHill, ©1977
 Contents

 1. The rotation group. 1.1. The threedimensional pure rotation group. 1.2. The group SU[symbol]. 1.3. Invariant integral over the groups O[symbol] and SU[symbol]. 1.4. Representations of the groups O[symbol] and SU[symbol]. 1.5. Matrix elements of irreducible representations. 1.6. Differential operators of infinitesimal rotations
 2. The Lorentz group. 2.1. Infinitesimal Lorentz matrices. 2.2. Infinitesimal Operators. 2.3. Representations of the group L
 3. Spinor representation of the Lorentz group. 3.1. The group SL(2, C) and the Lorentz group. 3.2. Spinor representation of the group SL(2, C). 3.3. Infinitesimal operators of the spinor representation
 4. Principal series of representations of SL(2, C). 4.1. Linear spaces of representations. 4.2. The group operators. 4.3. SU[symbol] description of the principal series. 4.4. Comparison with the infinitesimal approach
 5. Complementary series of representations of SL(2, C). 5.1. Realization of the complementary series. 5.2. SU[symbol] description of the complementary series. 5.3. Operator formulation
 6. Complete series of representations of SL(2, C). 6.1. Realization of the complete series. 6.2. Complete series and spinors. 6.3. Unitary representations case. 6.4. Harmonic analysis on the group SL(2, C)
 7. Elements of general relativity theory. 7.1. Riemannian geometry. 7.2. Principle of equivalence. 7.3. Principle of general covariance. 7.4. Gravitational field equations. 7.5. Solutions of Einstein's field equations. 7.6. Experimental tests of general relativity. 7.7. Equations of motion
 8. Spinors in general relativity. 8.1. Connection between spinors and tensors. 8.2. Maxwell, Weyl and Riemann spinors. 8.3. Classification of Maxwell spinor. 8.4. Classification of Weyl spinor
 9. SL(2, C) gauge theory of the gravitational field: the NewmanPenrose equations. 9.1. Isotopic spin and gauge fields. 9.2. Lorentz invariance and the gravitational field. 9.3. SL(2, C) invariance and the gravitational field. 9.4. Gravitational field equations
 10. Analysis of the gravitational field. 10.1. Geometrical interpretation. 10.2. Choice of coordinate system. 10.3. Asymptotic behavior
 11. Some exact solutions of the gravitational field equations. 11.1. Solutions containing hypersurface orthogonal geodesic rays. 11.2. The NUTTaub metric. 11.3. Type D vacuum metrics
 12. The BondiMetznerSachs group. 12.1. The BondiMetznerSachs group. 12.2. The structure of the BondiMetznerSachs Group
 Isbn
 9781848160187
 Label
 Group theory and general relativity : representations of the Lorentz group and their applications to the gravitational field
 Title
 Group theory and general relativity
 Title remainder
 representations of the Lorentz group and their applications to the gravitational field
 Statement of responsibility
 Moshe Carmeli
 Language
 eng
 Summary
 This is the only book on the subject of group theory and Einstein's theory of gravitation. It contains an extensive discussion on general relativity from the viewpoint of group theory and gauge fields. It also puts together in one volume many scattered, original works, on the use of group theory in general relativity theory. There are twelve chapters in the book. The first six are devoted to rotation and Lorentz groups, and their representations. They include the spinor representation as well as the infinitedimensional representations. The other six chapters deal with the application of groups  particularly the Lorentz and the SL(2, C) groups  to the theory of general relativity. Each chapter is concluded with a set of problems. The topics covered range from the fundamentals of general relativity theory, its formulation as an SL(2, C) gauge theory, to exact solutions of the Einstein gravitational field equations. The important BondiMetznerSachs group, and its representations, conclude the book. The entire book is selfcontained in both group theory and general relativity theory, and no prior knowledge of either is assumed. The subject of this book constitutes a relevant link between field theoreticians and general relativity theoreticians, who usually work rather independently of each other. The treatise is highly topical and of real interest to theoretical physicists, general relativists and applied mathematicians. It is invaluable to graduate students and research workers in quantum field theory, general relativity and elementary particle theory
 Cataloging source
 N$T
 http://library.link/vocab/creatorDate
 1933
 http://library.link/vocab/creatorName
 Carmeli, Moshe
 Dewey number
 530.11/01/5122
 Index
 index present
 LC call number
 QC174.52.L6
 LC item number
 .C37 2000eb
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/subjectName

 Lorentz transformations
 SCIENCE
 Lorentz transformations
 Darstellung
 Anwendung
 Gravitationsfeld
 Allgemeine Relativitätstheorie
 Gruppentheorie
 LorentzGruppe
 Label
 Group theory and general relativity : representations of the Lorentz group and their applications to the gravitational field, Moshe Carmeli
 Note
 Originally published: New York : McGrawHill, ©1977
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references (pages 343375) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 1. The rotation group. 1.1. The threedimensional pure rotation group. 1.2. The group SU[symbol]. 1.3. Invariant integral over the groups O[symbol] and SU[symbol]. 1.4. Representations of the groups O[symbol] and SU[symbol]. 1.5. Matrix elements of irreducible representations. 1.6. Differential operators of infinitesimal rotations  2. The Lorentz group. 2.1. Infinitesimal Lorentz matrices. 2.2. Infinitesimal Operators. 2.3. Representations of the group L  3. Spinor representation of the Lorentz group. 3.1. The group SL(2, C) and the Lorentz group. 3.2. Spinor representation of the group SL(2, C). 3.3. Infinitesimal operators of the spinor representation  4. Principal series of representations of SL(2, C). 4.1. Linear spaces of representations. 4.2. The group operators. 4.3. SU[symbol] description of the principal series. 4.4. Comparison with the infinitesimal approach  5. Complementary series of representations of SL(2, C). 5.1. Realization of the complementary series. 5.2. SU[symbol] description of the complementary series. 5.3. Operator formulation  6. Complete series of representations of SL(2, C). 6.1. Realization of the complete series. 6.2. Complete series and spinors. 6.3. Unitary representations case. 6.4. Harmonic analysis on the group SL(2, C)  7. Elements of general relativity theory. 7.1. Riemannian geometry. 7.2. Principle of equivalence. 7.3. Principle of general covariance. 7.4. Gravitational field equations. 7.5. Solutions of Einstein's field equations. 7.6. Experimental tests of general relativity. 7.7. Equations of motion  8. Spinors in general relativity. 8.1. Connection between spinors and tensors. 8.2. Maxwell, Weyl and Riemann spinors. 8.3. Classification of Maxwell spinor. 8.4. Classification of Weyl spinor  9. SL(2, C) gauge theory of the gravitational field: the NewmanPenrose equations. 9.1. Isotopic spin and gauge fields. 9.2. Lorentz invariance and the gravitational field. 9.3. SL(2, C) invariance and the gravitational field. 9.4. Gravitational field equations  10. Analysis of the gravitational field. 10.1. Geometrical interpretation. 10.2. Choice of coordinate system. 10.3. Asymptotic behavior  11. Some exact solutions of the gravitational field equations. 11.1. Solutions containing hypersurface orthogonal geodesic rays. 11.2. The NUTTaub metric. 11.3. Type D vacuum metrics  12. The BondiMetznerSachs group. 12.1. The BondiMetznerSachs group. 12.2. The structure of the BondiMetznerSachs Group
 Control code
 827949108
 Dimensions
 unknown
 Extent
 1 online resource (xviii, 391 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9781848160187
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)827949108
 Label
 Group theory and general relativity : representations of the Lorentz group and their applications to the gravitational field, Moshe Carmeli
 Note
 Originally published: New York : McGrawHill, ©1977
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references (pages 343375) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 1. The rotation group. 1.1. The threedimensional pure rotation group. 1.2. The group SU[symbol]. 1.3. Invariant integral over the groups O[symbol] and SU[symbol]. 1.4. Representations of the groups O[symbol] and SU[symbol]. 1.5. Matrix elements of irreducible representations. 1.6. Differential operators of infinitesimal rotations  2. The Lorentz group. 2.1. Infinitesimal Lorentz matrices. 2.2. Infinitesimal Operators. 2.3. Representations of the group L  3. Spinor representation of the Lorentz group. 3.1. The group SL(2, C) and the Lorentz group. 3.2. Spinor representation of the group SL(2, C). 3.3. Infinitesimal operators of the spinor representation  4. Principal series of representations of SL(2, C). 4.1. Linear spaces of representations. 4.2. The group operators. 4.3. SU[symbol] description of the principal series. 4.4. Comparison with the infinitesimal approach  5. Complementary series of representations of SL(2, C). 5.1. Realization of the complementary series. 5.2. SU[symbol] description of the complementary series. 5.3. Operator formulation  6. Complete series of representations of SL(2, C). 6.1. Realization of the complete series. 6.2. Complete series and spinors. 6.3. Unitary representations case. 6.4. Harmonic analysis on the group SL(2, C)  7. Elements of general relativity theory. 7.1. Riemannian geometry. 7.2. Principle of equivalence. 7.3. Principle of general covariance. 7.4. Gravitational field equations. 7.5. Solutions of Einstein's field equations. 7.6. Experimental tests of general relativity. 7.7. Equations of motion  8. Spinors in general relativity. 8.1. Connection between spinors and tensors. 8.2. Maxwell, Weyl and Riemann spinors. 8.3. Classification of Maxwell spinor. 8.4. Classification of Weyl spinor  9. SL(2, C) gauge theory of the gravitational field: the NewmanPenrose equations. 9.1. Isotopic spin and gauge fields. 9.2. Lorentz invariance and the gravitational field. 9.3. SL(2, C) invariance and the gravitational field. 9.4. Gravitational field equations  10. Analysis of the gravitational field. 10.1. Geometrical interpretation. 10.2. Choice of coordinate system. 10.3. Asymptotic behavior  11. Some exact solutions of the gravitational field equations. 11.1. Solutions containing hypersurface orthogonal geodesic rays. 11.2. The NUTTaub metric. 11.3. Type D vacuum metrics  12. The BondiMetznerSachs group. 12.1. The BondiMetznerSachs group. 12.2. The structure of the BondiMetznerSachs Group
 Control code
 827949108
 Dimensions
 unknown
 Extent
 1 online resource (xviii, 391 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9781848160187
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)827949108
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