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Title: Effective theory of black holes in the 1/D expansion
Authors: Emparan, Roberto
Shiromizu, Tetsuya
Suzuki, Ryotaku
Tanabe, Kentaro
Tanaka, Takahiro  kyouindb  KAKEN_id
Author's alias: 田中, 貴浩
Keywords: Black Holes
Classical Theories of Gravity
Black Holes in String Theory
Issue Date: Jun-2015
Publisher: Springer Berlin Heidelberg
Journal title: Journal of High Energy Physics
Volume: 2015
Thesis number: 159
Abstract: 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.
Rights: © 2015, The Author(s). This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
JHEP is an open-access journal funded by SCOAP3 and licensed under CC BY 4.0
URI: http://hdl.handle.net/2433/210396
DOI(Published Version): 10.1007/JHEP06(2015)159
Appears in Collections:Journal Articles

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