2015/12/31 by Tian-Yi Zhao, Towe Wang
Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Black hole (networking) #Black hole thermodynamics #Cauchy stress tensor #Membrane paradigm #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect #Schwarzschild metric #Schwarzschild radius #Tensor (intrinsic definition) #gr-qc
paper · pdf · doi:10.1088/1475-7516/2016/06/019
16 pages, author information updated
arxiv created 2016/06/05 · openalex publication_date 2016/06/08 · arxiv updated 2016/06/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The membrane paradigm of black hole is studied in the Chern-Simons modified gravity. Derived with the action principle a la Parikh-Wilczek, the stress tensor of membrane manifests a rich structure arising from the Chern-Simons term. The membrane stress tensor, if related to the bulk stress tensor in a special form, obeys the low-dimensional fluid continuity equation and the Navier-Stokes equation. This paradigm is applied to spherically symmetric static geometries, and in particular, the Schwarzschild black hole, which is a solution of a large class of dynamical Chern-Simons gravity.