Acoustic geometry for general relativistic barotropic irrotational fluid flow

作者：Visser Matt^*; Molina Paris Carmen

来源：New Journal of Physics, 2010, 12: 095014.

DOI：10.1088/1367-2630/12/9/095014

'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.

• 出版日期2010-9-30