2016/07/31 by Yogesh Dandekar, Anandita De, Subhajit Mazumdar +2 · 2 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black brane #Black hole (networking) #Entropy (arrow of time) #Gravitation #Quantum Electrodynamics and Casimir Effect #Schwarzschild metric #Schwarzschild radius #Spacetime #Tensor (intrinsic definition) #White hole #gr-qc #hep-th
paper · pdf · doi:10.1007/jhep12(2016)113
Typesetting corrected, New appendix added to explain the method of computation
openalex created_date 2016/08/23 · arxiv created 2016/11/21 · openalex publication_date 2016/12/01 · arxiv updated 2017/02/01 · openalex updated_date 2026/08/05
In the large D limit, and under certain circumstances, it has recently been demonstrated that black hole dynamics in asymptotically flat spacetime reduces to the dynamics of a non gravitational membrane propagating in flat D dimensional spacetime. We demonstrate that this correspondence extends to all orders in a 1/D expansion and outline a systematic method for deriving the corrected membrane equation in a power series expansion in 1/D. As an illustration of our method we determine the first subleading corrections to the membrane equations of motion. A qualitatively new effect at this order is that the divergence of the membrane velocity is nonzero and proportional to the square of the shear tensor reminiscent of the entropy current of hydrodynamics. As a test, we use our modified membrane equations to compute the corrections to frequencies of light quasinormal modes about the Schwarzschild black hole and find a perfect match with earlier computations performed directly in the gravitational bulk.