Derivation of the blackfold effective theory

Details Derivation of the blackfold effective theory Derivation of the blackfold effective theory

2012-01-17

arxiv.org/abs/1201.3506v3

Physics

High Energy Physics

High Energy Physics - Theory

1+19 pages. v3: Minor corrections, matches published version

Scientific paper

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.

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