20402258 RELATIVITY THEORY in Physics LM-17 FRANCIA DARIO
(syllabus)
Inertia and invariance in Galilean Relativity and Special Relativity. The principle of equivalence.
General covariance. Local inertial systems. References to Special Relativity. Noether's theorem. Curvilinear coordinates.
Christoffel symbols. Geodesic. Covariant derivation. Curvature. Geodesic deviation. Well tensor.
Einstein-Hilbert action. Identity of Palatine. Analogies with spin gauge theories 1. Couplings: tensor
pulse-energy, scalar field and electromagnetic field. Linear approximation. Gravitational waves.
(reference books)
- Carroll S, ``Spacetime and Geometry: An Introduction to General Relativity’'
(Addison-Wesley 2014/Cambridge University Press, 2019)
- Wald R, ``General Relativity'' (The University of Chicago Press, 1984).
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