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The Young modulus of black strings and the fine structure of blackfolds

2011/10/31 by Jay Armas, Joan Camps, Troels Harmark +1 · 2 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Bending #Black Holes and Theoretical Physics #Black hole (networking) #Dipole #Generalization #Modulus #Quantum Electrodynamics and Casimir Effect #Spin (aerodynamics) #hep-th

paper · pdf · doi:10.1007/jhep02(2012)110

published as JHEP 1202 (2012) 110 · v1: 28 pages + appendices. v2: Important sign corrections in sec. 3. Other minor corrections

arxiv created 2012/01/23 · openalex publication_date 2012/02/01 · arxiv updated 2014/12/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We explore corrections in the blackfold approach, which is a worldvolume theory capturing the dynamics of thin black branes. The corrections probe the fine structure of the branes, going beyond the approximation in which they are infinitely thin, and account for the dipole moment of worldvolume stress-energy as well as the internal spin degrees of freedom. We show that the dipole correction is induced elastically by bending a black brane. We argue that the long-wavelength linear response coefficient capturing this effect is a relativistic generalization of the Young modulus of elastic materials and we compute it analytically. Using this we draw predictions for black rings in dimensions greater than six. Furthermore, we employ our corrected blackfold equations to various multi-spinning black hole configurations in the blackfold limit, finding perfect agreement with known analytic solutions.

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