Accelerating imperfect fluid

Abstract

An inhomogeneous fluid in accelerated motion is investigated. When the velocity field $v(x)$ is not constant, the geometry viewed by a static observer is curved, as if the observer were immersed in a gravitational field. A velocity-dependent semiclassical gravitational potential is introduced, which obeys an Yukawa-type equation, written in Cartesian coordinates. The timelike and null geodesic equations are investigated. One finds that the fluid has zero energy density corresponding to the perfect fluid part but nonzero anisotropic energy density. The pressures will no longer depend on $\hslash$ for time intervals $t>>1/m$, where $m$ is the field mass.

9 pages, no figures, small corrections; Phys. Lett. A384, issue 12 (2020) 126348

References in corpus (6)

• Observation of thermal Hawking radiation at the Hawking temperature in an analogue black hole
• Numerical observation of Hawking radiation from acoustic black holes in atomic Bose-Einstein condensates
• Imperfect fluid description of modified gravities
• Vorticity in analogue spacetimes
• The Weiss Variation of the Gravitational Action
• Matter Growth in Imperfect Fluid Cosmology