# Quasinormal modes of (anti-)de Sitter black holes in the 1/D expansion

@article{Emparan2015QuasinormalMO, title={Quasinormal modes of (anti-)de Sitter black holes in the 1/D expansion}, author={Roberto Emparan and Ryo Suzuki and Kentaro Tanabe}, journal={Journal of High Energy Physics}, year={2015}, volume={2015}, pages={1-20} }

A bstractWe use the inverse-dimensional expansion to compute analytically the frequencies of a set of quasinormal modes of static black holes of Einstein-(Anti-)de Sitter gravity, including the cases of spherical, planar or hyperbolic horizons. The modes we study are decoupled modes localized in the near-horizon region, which are the ones that capture physics peculiar to each black hole (such as their instabilities), and which in large black holes contain hydrodynamic behavior. Our results also…

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## References

SHOWING 1-10 OF 20 REFERENCES

### Quasinormal modes of AdS black holes and the approach to thermal equilibrium

- Physics
- 2000

We investigate the decay of a scalar field outside a Schwarzschild anti de Sitter black hole. This is determined by computing the complex frequencies associated with quasinormal modes. There are…

### Universal quasinormal modes of large D black holes

- Physics
- 2014

We show that in the limit where the number of spacetime dimensions D grows to infinity a very large class of black holes (including non-extremal, static, asymptotically flat ones, with any number of…

### Decoupling and non-decoupling dynamics of large D black holes

- Physics
- 2014

A bstractThe limit of large number of dimensions localizes the gravitational field of a black hole in a well-defined region near the horizon. The perturbative dynamics of the black hole can then be…

### Instability of rotating black holes: large D analysis

- Physics
- 2014

A bstractWe study the stability of odd-dimensional rotating black holes with equal angular momenta by performing an expansion in the inverse of the number of dimensions D. Universality at large D…

### AdS/Ricci-flat correspondence and the Gregory-Laflamme instability

- Physics
- 2013

We show that for every asymptotically anti–de Sitter (AdS) solution compactified on a torus there is a corresponding Ricci-flat solution obtained by replacing the torus by a sphere, performing a Weyl…

### Universal quasinormal modes of black holes in the limit of large number of dimensions

- Physics
- 2014

We show that in the limit where the number of spacetime dimensions D grows to infinity a very large class of black holes (including non-extremal, static, asymptotically flat ones, with any number of…

### Quasinormal modes of asymptotically flat rotating black holes

- Physics
- 2014

We study the main properties of general linear perturbations of rotating black holes (BHs) in asymptotically flat higher-dimensional spacetimes. In particular, we determine the quasinormal mode (QNM)…

### Quasinormal modes of black holes and black branes

- Physics
- 2009

Quasinormal modes are eigenmodes of dissipative systems. Perturbations of classical gravitational backgrounds involving black holes or branes naturally lead to quasinormal modes. The analysis and…

### Blackfolds in (anti)-de Sitter backgrounds

- Physics, Mathematics
- 2011

We construct different neutral blackfold solutions in Anti-de Sitter and de Sitter background spacetimes in the limit where the cosmological constant is taken to be much smaller than the horizon…

### Large-D gravity and low-D strings.

- PhysicsPhysical review letters
- 2013

It is shown that in the limit of a large number of dimensions a wide class of nonextremal neutral black holes has a universal near-horizon limit, and the analogies between the α' expansion in string theory and the large-D expansion in gravity suggest a possible effective string description of theLarge-D limit of black holes.