Gauge gravitation theory /
This concise monograph is intended for students and scientists specializing in contemporary field theory, gravitation theory and modern differential geometry. The gauge theory as presented by the authors, incorporates Einstein's gravity into the universal picture of fundamental interactions and...
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Published: |
World Scientific Pub. Co.,
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Publisher Address: | Singapore ; River Edge, N.J. : |
Publication Dates: | 1992. |
Literature type: | eBook |
Language: | English |
Subjects: | |
Online Access: |
http://www.worldscientific.com/worldscibooks/10.1142/1514#t=toc |
Summary: |
This concise monograph is intended for students and scientists specializing in contemporary field theory, gravitation theory and modern differential geometry. The gauge theory as presented by the authors, incorporates Einstein's gravity into the universal picture of fundamental interactions and clarifies its physical nature as a Higgs field. A key point advanced here is the spontaneous breakdown of space-time symmetries according to the equivalence principle. The jet manifold generalization of the fibre bundle machinery is used to describe this symmetry breaking, degenerate Hamiltonian systems and general connections. |
Carrier Form: | 1 online resource (vii,122pages) |
Bibliography: | Includes bibliographical references (pages 117-119) and index. |
ISBN: | 9789814360081 (electronic bk.) |
CLC: | O413.3 |
Contents: | Introduction -- Preliminary. 0.1. Bundles -- 0.2. Jet manifolds -- 0.3. General connections -- 1. Classical gauge theory. 1.1. Geometric theory of classical fields -- 1.2. Gauge transformations -- 1.3. Multimomentum Hamiltonian formalism -- 1.4. Geometry of spontaneous symmetry breaking -- 2. Gauge theory of classical gravity. 2.1. Dirac fermion fields -- 2.2. Tetrad gravitational fields -- 2.3. Space-time structure -- Appendix. Space-time singularities -- 3. The Higgs feature of classical gravity. 3.1. Fermion-gravitation complex -- 3.2. Deviations of a gravitational field -- 4. Gauge theory of the translation group. 4.1. Gauge models of the Poincare group -- 4.2. Deformed manifolds -- 4.3. Gauge theory of the fifth force. |