Effective theory of Black Holes in the 1/D expansion - INSPIRE

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Effective theory of Black Holes in the 1/D expansion

Roberto Emparan
(
- ICC, Barcelona U. and
- ICREA, Barcelona
)
,
Tetsuya Shiromizu
(
- KMI, Nagoya and
- Nagoya U., Math. Dept.
)
,
Ryotaku Suzuki
(
- Osaka City U.
)
,
Kentaro Tanabe
(
- KEK, Tsukuba
)
,
Takahiro Tanaka
(
- Kyoto U. and
- Kyoto U., Yukawa Inst., Kyoto
)

Apr 24, 2015

34 pages

Published in:

JHEP 06 (2015) 159

Published: Jun 23, 2015

e-Print:

1504.06489 [hep-th]

DOI:

10.1007/JHEP06(2015)159

Report number:

KEK-TH-1810,
AP-GR-122,
OCU-PHYS-422,
KUNS-2557,
YITP-15-33,
KEK-TH-1810,
AP-GR-122,
OCU-PHYS-422,
KUNS 2557,
YITP-15-33

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Abstract: (Springer)

The gravitational field of a black hole is strongly localized near its horizon when the number of dimensions D is very large. In this limit, we can effectively replace the black hole with a surface in a background geometry (e.g. Minkowski or Anti-deSitter space). The Einstein equations determine the effective equations that this ‘black hole surface’ (or membrane) must satisfy. We obtain them up to next-to-leading order in 1/D for static black holes of the Einstein-(A)dS theory. To leading order, and also to next order in Minkowski backgrounds, the equations of the effective theory are the same as soap-film equations, possibly up to a redshift factor. In particular, the Schwarzschild black hole is recovered as a spherical soap bubble. Less trivially, we find solutions for ‘black droplets’, i.e. black holes localized at the boundary of AdS, and for non-uniform black strings.

Note:

32 pages, 3 figures

Black Holes
Classical Theories of Gravity
Black Holes in String Theory
black hole: Schwarzschild
black hole: surface
black hole: static
Einstein equation
anti-de Sitter
black string
gravitation

References(38)

Figures(3)

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Roberto Emparan
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)

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Roberto Emparan
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Kentaro Tanabe
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)

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Roberto Emparan
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Kentaro Tanabe
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- Barcelona U., Dept. Fund. Phys. and
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Veronika E. Hubeny
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(
- UC, Santa Barbara
)
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Mukund Rangamani
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Roberto Emparan
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Veronika E. Hubeny
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Donald Marolf
(
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Veronika E. Hubeny
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Jorge E. Santos
(
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Benson Way
(
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)

- JHEP 12 (2012) 060
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- 1208.6291
•
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