General relativity

Quick links

Quick links

Next student seminar :
Access to the program

Here you can find information about your internships:
Experimental Internship - Undergraduate program
Master ICFP first year Internship

News : ICFP Research seminars
November 16 - 20, 2020 :

All information about the program

Contact us - Student support and Graduate School office :
Tél : 01 44 32 35 60
enseignement@phys.ens.fr

Faculty: Marios PETROPOULOS
Tutor: Philippe GRANDCLEMENT
ECTS credits: 6
Language of instruction: Anglais
Examination: Written

Description

This course aims at presenting a selection of advanced topics in gravitational classical dynamics. It starts with a reminder of the basics of general relativity and Riemannian geometry. The equations of motion are displayed, and Schwarzschild and Kerr solutions obtained. The black-hole properties of the latter are then discussed with special emphasis on their thermodynamic interpretation. Follows the general study of the energy-momentum tensor accompanied with the analysis of the conserved charges of the gravitational field. The last part of the course is devoted to Cartan’s formalism and exterior calculus. These are the building blocks for cosmological applications and primer tools for gravitational instantons, useful for the quantum theory .

PREREQUISITE KNOWLEDGE
Special relativity and basics of general relativity: elements of differential geometry, Schwarzschild solution, tests of Einstein’s theory of gravity. This can be found in any modern textbook – see bibliography.

PROGRAMM

EXERCICES

Quick links

Next student seminar :
Access to the program

Here you can find information about your internships:
Experimental Internship - Undergraduate program
Master ICFP first year Internship

News : ICFP Research seminars
November 16 - 20, 2020 :

All information about the program

Contact us - Student support and Graduate School office :
Tél : 01 44 32 35 60
enseignement@phys.ens.fr