Roberto Emparan, Ryotaku Suzuki, Kentaro Tanabe
General Relativity simplifies dramatically in the limit that the number of spacetime dimensions D is infinite: it reduces to a theory of non-interacting particles, of finite radius but vanishingly small cross sections, which do not emit nor absorb radiation of any finite frequency. In many respects, black holes and black branes behave like configurations of dust. The simplicity of this limit motivates the study of the theory in an expansion in 1/D. Large D introduces a separation of scales that allows an effective theory of black hole dynamics. We develop to leading order in 1/D this effective description for massless scalar fields and compute analytically the scalar absorption probability. We solve to next-to-next-to-leading order the black brane instability, with very accurate results that improve on previous approximations with other methods. These examples demonstrate that problems that can be formulated in an arbitrary number of dimensions may be tractable in analytic form, and very efficiently so, in the large D expansion.
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http://arxiv.org/abs/1302.6382
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