Scheda insegnamento


L'insegnamento contribuisce al perseguimento degli Obiettivi di Sviluppo Sostenibile dell'Agenda 2030 dell'ONU.

Istruzione di qualità

Anno Accademico 2021/2022

Conoscenze e abilità da conseguire

At the end of the course the student will have a comprehensive knowledge of modern theoretical models of the primordial universe in the framework of the quantum theory of fields and general relativity. All topics will be taught with a critical perspective that takes into account cosmological data. The student will be able to analyse and compare specific models and observational evidence to discriminate among different scenarios.


The course will cover the following topics:

1) Brief review of the simplest cosmological models stemming from the cosmological principle of homogeneity and isotropy and their shortcomings; Raychaudhuri equations and approach to the "Big Bang" singularity; inhomogenous Kasner metrics;

2) introduction to inflationary models for the very early Universe to solve the problems of the Big Bang model and shortcomings of the semiclassical approach in the very early Universe;

3) general covariance and diffeomorphism invariance of the gravitational and matter actions in Lagrangian and Hamiltonian formalism; Hamiltonian and momentum constraints in the Einstein gravity;

4) general theory of constrained systems and canonical quantisation for the Einstein gravity; the Wheeler-deWitt equation;

5) canonical quantisation of cosmological models and conditions for the semiclassical limit via the Born-Oppenheimer approach;

6) general theory of linear cosmological perturbations; the Cosmic Microwave Backgroung radiation in inflationary models;

7) exit from the inflationary phase and reheating;

8) brief introduction to the LambdaCDM model for the late Universe; the problems of dark energy and dark matter.


Textbooks and review articles will be suggested during the lessons.

Metodi didattici

Standard lectures with blackboard.

Modalità di verifica e valutazione dell'apprendimento

The test consists of a final oral exam, fixed by appointment with the teacher, with the presentation of a written essay on a topic of your choice, and free questions from the teacher on other topics covered in the course.

Strumenti a supporto della didattica


Orario di ricevimento

Consulta il sito web di Roberto Casadio

Consulta il sito web di