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

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Decoupling and non-decoupling dynamics of large D black holes

Roberto Emparan
(
)
,
Ryotaku Suzuki
(
- Osaka City U.
)
,
Kentaro Tanabe
(
- Barcelona U., Dept. Fund. Phys. and
- KEK, Tsukuba
)

Jun 4, 2014

30 pages

Published in:

JHEP 07 (2014) 113

Published: 2014

e-Print:

1406.1258 [hep-th]

DOI:

10.1007/JHEP07(2014)113

Report number:

YITP-14-45,
KEK-TH-1741,
YITP-14-45,
KEK-TH-1741

View in:

ADS Abstract Service

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Abstract: (Springer)

The 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 characterized in terms of states in the near-horizon geometry. We investigate this by computing the spectrum of quasinormal modes of the Schwarzschild black hole in the 1/D expansion, which we find splits into two classes. Most modes are non-decoupled modes: non-normalizable states of the near-horizon geometry that straddle between the near-horizon zone and the asymptotic zone. They have frequency of order D/r

_{0}

(with r

_{0}

the horizon radius), and are also present in a large class of other black holes. There also exist a much smaller number of decoupled modes: normalizable states of the near-horizon geometry that are strongly suppressed in the asymptotic region. They have frequency of order 1/r

_{0}

, and are specific of each black hole. Our results for their frequencies are in excellent agreement with numerical calculations, in some cases even in D = 4.

Note:

30 pages, 13 figures; v2: minor corrections

Black Holes
Black Holes in String Theory
black hole: Schwarzschild
quasinormal mode: spectrum
geometry
decoupling
horizon
numerical calculations
gravitation
suppression

References(24)

Figures(13)

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to appear

R. Emparan
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