1) M. Nakahara, "Geometry, Topology and Physics"
2) S. Carroll, "Spacetime and Geometry: An Introduction to General Relativity"
3) R. Wald, "General Relativity"
4) P. Townsend, "Black Holes"
5) N. Straumann Soringer, "General Relativity"
6) R. d' Inverno, "Introducing Einstein's Relativity"
7) Dispense Prof. D. Seminara
Learning Objectives
Knowledge acquired: Mathematical skills for GR. Foundations of GR
Competence acquired: Derivation of Einsten Equations. Notable examples of GR solutions
Skills acquired (at the end of the course): Computing geometrical quantities for pseudo-Riemannian manifold. Computing Einstein equations for a given ansatz of the metric
Teaching Methods
6 CFU
Lectures hours: 48
Further information
Office hours appointment by email: cotrone@fi.infn.it, seminara@fi.infn.it
Mathematical Structures needed to describe a curved space: manifolds and (pseudo-)Riemannian geometry. Einstein equations, Hilbert-Einstein action.
Horizons, singularities, causal structure, black holes. Charged and rotating black holes. Conserved quantities.