Landau – Classical field theory
Weinberg – Gravitation and cosmology
Carroll - Spacetime and geometry
Learning Objectives
Knowledge acquired:
basic knowledge of special and general relativity
Competence acquired:
differential geometry
Skills acquired
handling the relativistic framework
Prerequisites
Calculus and vector calculus. Classical mechanics and electrodynamics. Basics of special relativity.
Teaching Methods
6 CFU
Class hours: 48
Further information
Office hours
To be agreed with the teacher
Website
http://theory.fi.infn.it/becattini/
Type of Assessment
Oral test
Course program
Foundations of special relativity. Four-vectors and tensors. Relativistic kinematics and dynamics. Covariant formulation of electromagnetism. Stress-energy tensor of matter and electromagnetic field. Relativistic fluids and equation of motions.
Introduction to general relativity. Equivalence principle. Redshift and Pound-Rebka experiment. Need of curved spacetime. Curved spacetimes: metric tensor, geodesics, covariant derivative, Bianchi identity. Length and time measurement. Geodesics and test particles. Einstein field equations. Hilbert gravitational action. Spherically symmetric solutions: Schwarzschild metric. Orbits in Schwarzschild metric. Light beams deflection.