On the effective acoustic geometry for relativistic viscous fluids

Abstract

Hadamard-Papapetrou method of field discontinuities is here employed in order to determine the effective metric that describes the propagation of acoustic perturbations in isentropic fluids. It is shown that, when dissipative effects are present, small perturbations in fastly moving fluids have a natural description in terms of an effective acoustic geometry. As an application of our results, a model for an acoustic black hole in viscous fluid is investigated.

arXiv comment9 pages, 6 figures

References in corpus (6)

• Acoustic black holes: horizons, ergospheres, and Hawking radiation
• Sonic analog of gravitational black holes in Bose-Einstein condensates
• Observation of quantum Hawking radiation and its entanglement in an analogue black hole
• Observation of self-amplifying Hawking radiation in an analog black hole laser
• Acoustic geometry for general relativistic barotropic irrotational fluid flow
• On optical black holes in moving dielectrics

Cited by in corpus (3)

• On the geometry outside of acoustic black holes in $2+1$-dimensional spacetime
• Aspects of wave propagation in a nonlinear medium: birefringence and the second-order magnetoelectric coefficients
• Hawking radiation from acoustic black holes in relativistic heavy ion collisions