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    Introduction to General Relativity

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    Astrophysical Astronomy of Île-de-France (ED 127)  Agrégation de physique  ENS Diploma  Student handbooks  Contact us 

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    November 14 - 18, 2022 :
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    Contact us - Student support and Graduate School office :
    Tél : 01 44 32 35 60
    enseignement@phys.ens.fr

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    Experimental Internship - Undergraduate program
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    November 14 - 18, 2022 :
    All information about the program

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

    Faculty: Gilles Esposito-Farèse
    Tutor: Alexis Brès
    ECTS credits: 3
    Language of instruction: English
    Web site:

    Description

    General relativity is a relativistic theory of gravity. It is based on two independent hypotheses: the equivalence principle, which allows us to describe the motion of matter in a curved spacetime; and Einstein’s equations, which predict how such a curvature is generated by material sources. After having introduced the necessary tools of Riemannian geometry, we will study the observable effects in the solar system (Mercury perihelion shift, light deflection, ...) and in binary pulsars, notably their energy loss due to gravitational radiation. All these predictions are in remarkable agreement with experimental data. We will end these lectures by a brief introduction to relativistic cosmology.

    Outline of the lectures:

    • Preliminaries
      • Review of Newtonian gravity
      • Review of special relativity
    • Basics of general relativity
      • Concepts
      • Tools of Riemannian geometry
      • Action of geometry on matter
      • Curvature
      • Fermi coordinates
    • Action of matter on geometry
      • Motivation and Einstein’s equations
      • Schwarzschild solution and PPN formalism
      • Classic tests in the solar system
      • Gravitational lenses
    • Linearized general relativity and gravitational waves
      • Linearization of Einstein’s equations
      • Gauge transformations of the metric
      • Adapted coordinates to gravitational waves and helicity
      • Detection of gravitational waves
      • Production of gravitational waves
      • Energy loss by gravitational radiation
    • Binary pulsars
      • Description
      • Doppler effect
      • Einstein effect
      • Periastron advance
      • Orbital period decrease
      • Test of general relativity
      • Other tests
    • The homogeneous and isotropic Universe
      • Cosmological principle
      • Cosmological redshift
      • Luminosity distance
      • Friedmann equation
      • Accelerated expansion

    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 14 - 18, 2022 :
    All information about the program

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

     
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