Description

A] Introduction to general relativity:
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-- Gravity as a manifestation of curved spacetime : Einstein’s equivalence principle.
-- Trajectories on a static and spherically-symmetric spacetime : Mercury’s perihelion and deflection of light.
-- General covariance : tensors and their covariant derivatives, usual theories in curved spacetime.
-- Dynamical spacetime : Riemann and Ricci tensors, Einstein’s equations.
-- Vacuum solutions : black holes.
-- Wave solutions : gravitational waves.

B] Introduction to cosmology:
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-- Cosmological principle : Friedmann-Lemaître-Robertson-Walker spacetime, comoving observers and redshift.
-- Expanding universes : Friedmann equations, cosmological fluids.
-- Big Bang theory : our universe, dark matter and dark energy.
-- Thermal history of the universe : CMB, BBN, neutrinos.
-- Cosmological inflation.
-- A word on cosmological perturbations (only if times allows).

Compétences requises

-- Knowing special relativity and variational principles (e.g., four-vectors, Minkowski metric, proper time, Einstein’s summation, Euler-Lagrange equations) will help, although they will be briefly reviewed during the course.

Informations complémentaires

-- Theoretical course given at the board.
-- Exercises and their corrections will be provided, but will not be treated in class.
-- 3h-long written exam. Goal : testing a basic conceptual and technical understanding. Notes taken in class, corrections of exercises, summaries made at home, etc, are welcome.

Contacts

Responsable(s) de l'enseignement

• Quentin Bonnefoy

MCC

Les épreuves indiquées respectent et appliquent le règlement de votre formation, disponible dans l'onglet Documents de la description de la formation.

Régime d'évaluation

CT (Contrôle terminal, mêlé de contrôle continu)

Coefficient

3.0

Évaluation initiale / Session principale - Épreuves

Seconde chance / Session de rattrapage - Épreuves