XIIth School of Cosmology
 
September 15 - 20, 2014IESC, Cargèse
STRUCTURE FORMATION AFTER PLANCK
their impact in the study of galaxies and
Cosmology

Introduction to massive gravity

Cédric DEFFAYET
Institut d'Astrophysique de Paris (IAP) & Institut des Hautes Études Scientifiques (IHES)

Chapters

  1. Introduction: why massive gravity?
  2. From linearized General Relativity to Fierz-Pauli theory.
  3. The van Dam-Veltman-Zakharov discontinuity.
  4. Non linear massive gravity, the Vainshtein mechanism and the Boulware Deser ghost.
  5. The Decoupling Limit.
  6. de Rham-Gabadadze-Tolley theory and its phenomenology.
  7. Related models: Galileons, Generalized Galileons and others.

Abstract

I will introduce the general features of "massive gravity theories", a set of theories where the graviton is given a mass with the aim of getting interesting large distance modifications of gravity to be useful in
cosmology. Such theories suffer from generic pathologies including the "vDVZ discontinuity" the presence of a ghost like mode (Boulware Deser ghost) and strong interactions in the scalar sector. These will be introduced as well as possible cures, including the Vainshtein mechanism. Related theories (some of which featuring the Vainshtein mechanism) will also be briefly exposed. The lectures will be suitable for beginners.

Bibliography

  • Articles
    • "Massive Gravity" par  Claudia de Rham, arXiv:1401.4173
    • " Theoretical Aspects of Massive Gravity" par Kurt Hinterbichler, Rev.Mod.Phys. 84 (2012), arXiv:1105.3735
    • " An introduction to the Vainshtein mechanism" par Eugeny Babichev, Cédric Deffayet, Class.Quant.Grav. 30 (2013) 184001, arXiv:1304.7240T

Program