Derivation of the blackfold effective theory

Abstract

We study fluctuations and deformations of black branes over length scales larger than the horizon radius. We prove that the Einstein equations for the perturbed p-brane yield, as constraints, the equations of the effective blackfold theory. We solve the Einstein equations for the perturbed geometry and show that it remains regular on and outside the black brane horizon. This study provides an ab initio derivation of the blackfold effective theory and gives explicit expressions for the metrics near the new black holes and black branes that result from it, to leading order in a derivative expansion.

20 pages. v4: Typo corrected in eq. (6.11) -- erratum in the published version

References in corpus (5)

• Nonlinear Fluid Dynamics from Gravity
• Blackfolds in Supergravity and String Theory
• Black Rings in Taub-NUT and D0-D6 interactions
• The Young Modulus of Black Strings and the Fine Structure of Blackfolds
• Self-similar critical geometries at horizon intersections and mergers

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• New Geometries for Black Hole Horizons
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