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Theory of Gravitational Interactions

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概要 This reference textbook is an up-to-date and self-contained introduction to the theory of gravitational interactions. The first part of the book follows the traditional presentation of general relativ...ity as a geometric theory of the macroscopic gravitational field. A second, advanced part then discusses the deep analogies (and differences) between a geometric theory of gravity and the gauge theories of the other fundamental interactions. This fills a gap which is present in the context of the traditional approach to general relativity, and which usually makes students puzzled about the role of gravity. The necessary notions of differential geometry are reduced to the minimum, leaving more room for those aspects of gravitational physics of current phenomenological and theoretical interest, such as the properties of gravitational waves, the gravitational interactions of spinors, and the supersymmetric and higher-dimensional generalization of the Einstein equations. Theory of Gravitational Interactions will be of particular value to undergraduate students pursuing a theoretical or astroparticle curriculum. It can also be used by those teaching related subjects, by PhD students and young researchers working in different scientific sectors but wishing to enlarge their spectrum of interests, and, in general, by all scholars interested in the modern aspects and problems of gravitational interaction.続きを見る
目次 Elementary notions of relativistic field theory
Towards a relativistic theory of gravity
Tensor calculus in a Riemannian manifold
Maxwell equations and Riemann geometry
Test bodies and signals in a Riemann spacetime
Geodesic deviation and curvature tensor
The Einstein equations for the gravitational field
The weak field approximation
Gravitational waves
The Schwarzschild solution
The Kasner solution
Vierbeins and Lorentz connection
The Dirac equation in a gravitational field
Supersimmetry and supergravity
Appendix A. The language of differential forms
Appendix B. Higher-dimensional gravity.
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本文を見る Full text available from Springer Physics and Astronomy eBooks 2013 English/International

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登録日 2020.06.27
更新日 2020.06.28