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Preface to the Second Edition 7 Preface to the First Edition 9 Contents 11 Notations, Units and Conventions 15 1 Elementary Notions of Relativistic Field Theory 18 1.1 Symmetries and Conservation Laws 18 1.2 Global Translations and Canonical Energy-Momentum Tensor 23 1.2.1 A Comment on the Non-uniqueness of the Definition 27 1.3 Lorentz Transformations and Canonical Angular Momentum 28 1.3.1 Symmetrization of the Energy-Momentum Tensor 31 1.4 Examples of Energy-Momentum Tensor 32 1.4.1 Scalar Field 32 1.4.2 Electromagnetic Field 33 1.4.3 Point-Like Particle 35 1.4.4 Perfect Fluid 38 2 Towards a Relativistic Theory of Gravity 0 2.1 The Postulates of the Riemannian Geometry 49 2.2 The Equivalence Principle 52 3 Tensor Calculus in a Riemann Manifold 57 3.1 Covariant and Contravariant Tensors 58 3.2 Tensor Densities 62 3.3 Infinitesimal Transformations, Isometries and Killing Vectors 64 3.3.1 Second-Order Infinitesimal Transformations 68 3.4 Covariant Derivative and Affine Connection 69 3.4.1 Autoparallel Curves 73 3.5 Torsion, Non-metricity and Christoffel Symbols 74 3.6 Useful Rules of Covariant Differentiation 76 3.6.1 Trace of the Christoffel Connection 77 3.6.2 Covariant Deriva

Who reads Theory of Gravitational Interactions?

Author

Maurizio Gasperini (auth.)

Publisher

Springer

Published

2017

Language

EN

Category

nonfiction