September 15 - 20, 2014 — IESC,
STRUCTURE FORMATION AFTER PLANCK
impact in the study of galaxies and Cosmology
Introduction to massive gravity
Institut d'Astrophysique de Paris (IAP)
& Institut des Hautes Études
- Introduction: why massive gravity?
- From linearized General Relativity to Fierz-Pauli theory.
- The van Dam-Veltman-Zakharov discontinuity.
- Non linear massive gravity, the Vainshtein mechanism and the Boulware Deser ghost.
- The Decoupling Limit.
- de Rham-Gabadadze-Tolley theory and its phenomenology.
- Related models: Galileons, Generalized Galileons and others.
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
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
- "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