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Quasinormal modes of (Anti-)de Sitter black holes in the 1/D expansion · Around

2015

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

Emparan, Roberto, Suzuki, Ryotaku, Tanabe, Kentaro

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We 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 give the unstable Gregory-Laflamme frequencies of Ricci-flat black branes to two orders higher in 1/D than previous calculations.
We discuss the limits on the accuracy of these results due to the asymptotic but not convergent character of the 1/D expansion, which is due to the violation of the decoupling condition at finite D.

Built on

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Then

M. P. Heller, R. A. Janik and P. Witaszczyk, “Hydrodynamic Gradient Expansion in Gauge Theory Plasmas,” Phys. Rev. Lett. 110
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R. Emparan, R. Suzuki and K. Tanabe, “Decoupling and non-decoupling dynamics of large D D black holes,” JHEP 1407
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R. Emparan, R. Suzuki and K. Tanabe, “Instability of rotating black holes: large D analysis,” JHEP 1406
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Ó. J. C. Dias, G. S. Hartnett and J. E. Santos, “Quasinormal modes of asymptotically flat rotating black holes,” Class. Quant. Grav. 31
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2011

Cited alongside, same era.

R. Emparan, R. Suzuki and K. Tanabe, “The large D limit of General Relativity,” JHEP 1306

2013

Cited alongside, same era.

2014

Later among the works it cites.