Theory of Gravitational Interactions

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Springer, Nov 25, 2016 - Science - 373 pages
This is the second edition of a well-received book that is a modern, self-contained introduction to the theory of gravitational interactions. The new edition includes more details on gravitational waves of cosmological origin, the so-called brane world scenario, and gravitational time-delay effects.The first part of the book follows the traditional presentation of general relativity as a geometric theory of the macroscopic gravitational field, while the second, more advanced part 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 within the traditional approach to general relativity which usually leaves students puzzled about the role of gravity. The required notions of differential geometry are reduced to the minimum, allowing room for 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. This textbook is primarily intended for students pursuing a theoretical or astroparticle curriculum but is also relevant for PhD students and young researchers.

 

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Contents

1 Elementary Notions of Relativistic Field Theory
1
3 Tensor Calculus in a Riemann Manifold
41
5 Test Bodies and Signals in a Riemann SpaceTime
80
6 Geodesic Deviation and Curvature Tensor
95
7 The Einstein Equations for the Gravitational Field
115
8 The WeakField Approximation
141
9 Gravitational Waves
159
10 The Schwarzschild Solution
202
12 Vierbeins and Lorentz Connection
242
13 The Dirac Equation in a Gravitational Field
261
14 Supersymmetry and Supergravity
274
Appendix A The Language of Differential Forms
303
Appendix B HigherDimensional Gravity
329
References
366
Index
369
Copyright

11 The Kasner Solution
231

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About the author (2016)

Maurizio Gasperini is Professor of Theoretical Physics at the Physics Department of the University of Bari, Italy. He has already published six books with Springer and is the author of more than 200 publications on gravitational theory, high-energy physics, and cosmology. He has twice won an "Award for Essays on Gravitation" from the Gravity Research Foundation (1996 and 1998). His former posts include a permanent position in the Department of Theoretical Physics at the University of Turin and three appointments as Scientific Associate at CERN, Theory Division (1993, 1996, and 2005). Here, in collaboration with Gabriele Veneziano, he formulated and developed an early-cosmology scenario based on the symmetries of string theory.

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