
Effective theory of black holes in the 1/D expansionEffective theory of black holes in the 1/D expansionAA1188279X 
"/Emparan, Roberto/"Emparan, Roberto ,
"/Shiromizu, Tetsuya/"Shiromizu, Tetsuya ,
"/Suzuki, Ryotaku/"Suzuki, Ryotaku ,
"/Tanabe, Kentaro/"Tanabe, Kentaro ,
"/Tanaka, Takahiro/"Tanaka, Takahiro
2015201506 , Springer Berlin Heidelberg
ISSN:10298479
NCID:AA1188279X
Description
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 AntideSitter space). The Einstein equations determine the effective equations that this ‘black hole surface’ (or membrane) must satisfy. We obtain them up to nexttoleading 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 soapfilm 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 nonuniform black strings.
FullText
http://repository.kulib.kyotou.ac.jp/dspace/bitstream/2433/210396/1/JHEP06%282015%29159.pdf