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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.

Journal

  • Journal of High Energy Physics

    Journal of High Energy Physics (2015), 2015-06

    Springer Berlin Heidelberg

Codes

  • NII Article ID (NAID)
    120005749943
  • NII NACSIS-CAT ID (NCID)
    AA1188279X
  • Text Lang
    ENG
  • Article Type
    journal article
  • ISSN
    1029-8479
  • Data Source
    IR 
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