Unit GENERAL RELATIVITY
- Course
- Physics
- Study-unit Code
- A003096
- Curriculum
- Fisica delle particelle elementari
- Teacher
- Marta Orselli
- Teachers
-
- Marta Orselli
- Hours
- 42 ore - Marta Orselli
- CFU
- 6
- Course Regulation
- Coorte 2024
- Offered
- 2024/25
- Learning activities
- Affine/integrativa
- Area
- Attività formative affini o integrative
- Academic discipline
- FIS/02
- Type of study-unit
- Opzionale (Optional)
- Type of learning activities
- Attività formativa monodisciplinare
- Language of instruction
- English
- Contents
- Solutions of Einstein's equations of general relativity and the main physical consequences. Action of the gravitational field and coupling with matter. Conservation laws and symmetries . Energy and conserved charges. Black-holes. Gravitational waves
- Reference texts
- S. M. Carroll, Spacetime and Geometry, Addison Wesely (2004).
S. Weinberg, Gravitation and Cosmology, Wiley (1972). - Educational objectives
- The main aim of this teaching is to provide students with the bases needed to address and solve the most important problems in General Relativity.
Main knowledge acquired will be:
Knowledge of the principles of general relativity.
Knowledge of solutions of Einstein's equations .
Knowledge of the black hole solutions.
Black hole thermodynamics.
Gravitational waves
The main competence ( ie the ability to apply the acquired knowledge ) will be :
Ability to describe the physical consequences of curved spaces.
Knowing how to discuss symmetries and physical properties of solution of Einstein's equations. - Prerequisites
- Course on Introduction to general relativity
- Teaching methods
- face to face
- Other information
- Learning verification modality
- Oral exam
- Extended program
- Basic introduction to Einstein's equations; Spherically symmetric metric; Scharzschild metric; Statement of the theorem of Birkhoff; Geodetic time and light-like in Schwarzschild geometry; Deviation of the light rays and the time-delay; Notion of Event Horizon; Kruskal coordinates; the concepts of Black-Hole, singularities and gravitational collapse in general relativity.
Hilbert action. Formulation of the first order. Conservation laws: Symmetries and Killing vectors. ADM formulation of gravity. Hamiltonian formulation of gravity; Asymptotic symmetry and definition of conserved charges; Positivity of 'energy for a gravity system. Energy and momentum of the gravitational field.
Blacks Holes: Geometry and Properties of black holes. Classical thermodynamics of black-holes. Rindler space; elements of causal structure of space-time; Hawking radiation.
Gravitational waves: linearization of Einstein's equations. Quadrupole emission. Emission of a binary system.