Holographic thermalization, quasinormal modes and superradiance in Kerr-AdS

By V. Cardoso, Ó. J. Dias, Gavin Hartnett, Luis Lehner, Jorge E Santos. 2013

132 citations recorded by the source corpus.

A bstractBlack holes in anti-de Sitter (AdS) backgrounds play a pivotal role in the gauge/gravity duality where they determine, among other things, the approach to equilibrium of the dual field theory. We undertake a detailed analysis of perturbed Kerr-AdS black holes in four- and five-dimensional spacetimes, including the computation of its quasinormal modes, hydrodynamic modes and superradiantly unstable modes. Our results shed light on the possibility of new black hole phases with a single Killing field, possible new holographic phenomena and phases in the presence of a rotating chemical potential, and close a crucial gap in our understanding of linearized perturbations of black holes in anti-de Sitter scenarios.

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

View Paper: https://www.semanticscholar.org/paper/2025ed20d0b77a3320fa8fee62f8c5f018ecd8b1

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

1. Paolo Pani
2. R. Brito
3. V. Cardoso
4. Aron Jansen
5. Jorge E Santos
6. Carlos A. R. Herdeiro
7. Kent Yagi
8. Gavin Hartnett

In Atomic and Molecular Physics, and Optics

1. Paolo Pani
2. R. Brito
3. Aron Jansen
4. V. Cardoso

In Nuclear and High Energy Physics

1. R. Brito
2. Paolo Pani
3. V. Cardoso
4. Aron Jansen
5. Jorge E Santos
6. Gavin Hartnett
7. Ó. J. Dias
8. R. Konoplya

Citations in the corpus

• Overdamped modes in Schwarzschild-de Sitter and a Mathematica package for the numerical computation of quasinormal modes (2017, methodology): “f the matrix representing the full QNM equation, as a function of the frequency, and look for zeroes by evaluating it on numerical points in the complex plane [58]. Another way, developed and used in [59], is to use the NewtonRaphson method. This can be advantageous even when not strictly necessary,”
• Superradiance (2015, methodology): “Recently, accurate spectral methods have been developed to handle partial differential equations (PDEs) [79].”
• Superradiance: Energy Extraction, Black-Hole Bombs and Implications for Astrophysics and Particle Physics (2015, methodology): “[72]); the peak growth rates are therefore substantially larger than those for scalar field fluctuations, as might be anticipated.”