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Effective theory of Black Holes in the 1/D expansion

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arxiv 1504.06489 v1 pith:ZJCUPXCM submitted 2015-04-24 hep-th gr-qc

Roberto Emparan , Tetsuya Shiromizu , Ryotaku Suzuki , Kentaro Tanabe , Takahiro Tanaka This is my paper · ORCID
classification hep-thgr-qc
keywords blackequationsholeeffectiveholesordertheorylocalized
verification ladder T0 review T1 audit T2 compute T3 formal
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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 (eg 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', ie black holes localized at the boundary of AdS, and for non-uniform black strings.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Localised Horizons and Holographic Thermodynamics: Supercooling in the 1/D Expansion

    hep-th 2026-08 conditional novelty 7.0 of 10

    For a large class of holographic confining gauge theories far from conformality, the maximum supercooling equals half the squared speed of sound at the critical temperature, up to 1/D corrections.

  2. Higher-Dimensional Black Holes and Effective Field Theory

    hep-th 2024-12 conditional novelty 7.0 of 10

    Higher-dimensional spinning black holes generally have nonzero scalar tidal Love numbers, with patterns of zeroes in special limits, computed via point-particle EFT matching.

  3. The Fate of Instability of de Sitter Black Holes at Large $D$

    hep-th 2019-09 conditional novelty 6.0 of 10

    At large D, RN-dS and GB-dS black holes evolve to stationary lumpy solutions on the instability threshold, and in the unstable region their mass localizes into spot-like or ring-like configurations.

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