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Relativistic elasticity of stationary fluid branes

2012/10/18 by Jay Armas, Niels A. Obers
Physics and Astronomy · #Black Holes and Theoretical Physics #Brane #Brane cosmology #Classical mechanics #Cosmology and Gravitation Theories #Elasticity (physics) #Fluid mechanics #Gravitation #Mechanics #Perfect fluid #Physics #Quantum Electrodynamics and Casimir Effect #Theoretical physics #Thermodynamics #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.87.044058

published as Phys.Rev. D87 (2013) 044058 · v1: 20 pages

arxiv created 2012/10/18 · openalex publication_date 2013/02/28 · arxiv updated 2014/12/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Fluid mechanics can be formulated on dynamical surfaces of arbitrary codimension embedded in a background space-time. This has been the main object of study of the blackfold approach in which the emphasis has primarily been on stationary fluid configurations. Motivated by this approach we show under certain conditions that a given stationary fluid configuration living on a dynamical surface of vanishing thickness and satisfying locally the first law of thermodynamics will behave like an elastic brane when the surface is subject to small deformations. These results, which are independent of the number of space-time dimensions and of the fluid arising from a gravitational dual, reveal the (electro)elastic character of (charged) black branes when considering extrinsic perturbations.

Citations