Séminaire de Physique ThéoriqueGravitational Turbulent Instability of Anti-de Sitter
Oscar Dias (CEA Saclay)
Thursday 09 February 2012 14:00 - Tours - Salle 1180 (Bât E2)
Bizon and Rostworowski have recently suggested that anti-de Sitter spacetime might be nonlinearly unstable to transfering energy to smaller and smaller scales and eventually forming a small black hole. We consider pure gravity with a negative cosmological constant and find strong support for this idea. While one can start with a single linearized mode and add higher order corrections to construct a nonlinear geon, this is not possible starting with a linear combination of two or more modes. One is forced to add higher frequency modes with growing amplitude; a process very similar to what happens with turbulence. The implications of this turbulent instability for the dual field theory are discussed.