2016/09/30 by Yogesh Dandekar, Subhajit Mazumdar, Shiraz Minwalla +1 · 33 citations
Physics and Astronomy · #Amplitude #Black Holes and Theoretical Physics #Black hole (networking) #Gravitation #Instability #Limit (mathematics) #Membrane #Noncommutative and Quantum Gravity Theories #Nonlinear system #Quantum Electrodynamics and Casimir Effect #Simple (philosophy) #gr-qc #hep-th
paper · pdf · doi:10.1007/jhep12(2016)140
published in Journal of High Energy Physics 2016(12) (Springer Nature) · 10 pages, references added
openalex created_date 2016/09/23 · arxiv created 2016/11/25 · openalex publication_date 2016/12/01 · arxiv updated 2017/02/01 · openalex updated_date 2026/08/05
It has recently been demonstrated that the dynamics of black holes at large D can be recast as a set of non gravitational membrane equations. These membrane equations admit a simple static solution with shape S D−p−2×R p,1. In this note we study the equations for small fluctuations about this solution in a limit in which amplitude and length scale of the fluctuations are simultaneously scaled to zero as D is taken to infinity. We demonstrate that the resultant nonlinear equations, which capture the Gregory-Laflamme instability and its end point, exactly agree with the effective dynamical ‘black brane’ equations of Emparan Suzuki and Tanabe. Our results thus identify the ‘black brane’ equations as a special limit of the membrane equations and so unify these approaches to large D black hole dynamics.