2010/01/31 by Matt Visser, Carmen Molina-Paris, Carmen Molina-Parı́s · 8 citations
Physics and Astronomy · #Barotropic fluid #Black Holes and Theoretical Physics #Classical mechanics #Compressibility #Conservative vector field #Cosmology and Gravitation Theories #Differential geometry #Flow (mathematics) #Fluid dynamics #Mathematical analysis #Mechanics #Newtonian fluid #Perfect fluid #Physics #Quantum Electrodynamics and Casimir Effect #Spacetime #gr-qc
paper · pdf · doi:10.1088/1367-2630/12/9/095014
published as New J.Phys.12:095014,2010 · V1: 23 pages, zero figures; V2: now 24 pages, some clarifications, 2 references added. This version accepted for publication in the New Journal of Physics. (Special issue on "Classical and Quantum Analogues for Gravitational Phenomena and Related Effects")
arxiv created 2010/05/06 · openalex publication_date 2010/09/30 · arxiv updated 2014/11/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
'Acoustic spacetimes', in which techniques of differential geometry are used to investigate sound propagation in moving fluids, have attracted considerable attention over the last few decades. Most of the models currently considered in the literature are based on non-relativistic barotropic irrotational fluids, defined in a flat Newtonian background. The extension, first to special relativistic barotropic fluid flow and then to general relativistic barotropic fluid flow in an arbitrary background, is less straightforward than it might at first appear. In this paper, we provide a pedagogical and simple derivation of the general relativistic 'acoustic spacetime' in an arbitrary ( d +1)-dimensional curved-space background.