Gravitational turbulent instability of anti-de Sitter space

By Ó. J. Dias, G. Horowitz, Jorge E Santos. 2011

208 citations recorded by the source corpus.

Bizon and Rostworowski have recently suggested that anti-de Sitter spacetime might be nonlinearly unstable to transferring 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 certain linearized modes and add higher order corrections to construct nonlinear geons, 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. The implications of this turbulent instability for the dual-field theory are discussed.

Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/cb8db1c2c39b5404cf534ce3d84ed4344116d570

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

In Atomic and Molecular Physics, and Optics

In Nuclear and High Energy Physics

Citations in the corpus

Boson stars in AdS spacetime (2013, background): “[1] found that pulses of scalar field in AdS are unstable to black hole formation, and subsequent arguments in [9] supported this view of generic instability.”
Holographic thermalization, quasinormal modes and superradiance in Kerr-AdS (2013, background): “These ideas were first proposed in [39] and further developed in [40, 19].”
On the nonlinear stability of asymptotically anti-de Sitter solutions (2012, background): “The purely gravitational problem has a similar perturbative structure [3].”
Numerical methods for finding stationary gravitational solutions (2015, methodology): “That is, these solitonic solutions and their nonlinear interactions connect the physics of superradiance to the weakly turbulent nonlinear instability of AdS or other confined Dirichlet systems with irremovable resonances [41, 226, 303].”