The role of axisymmetric flow configuration in the estimation of the analogue surface gravity and related Hawking like temperature

Abstract

We investigate the salient features of the acoustic geometry corresponding to the axially symmetric accretion of dissipationless inhomogeneous fluid onto a non-rotating astrophysical black hole under the influence of a generalized pseudo-Schwarzschild gravitational potential. For a few chosen flow configurations, we determine the location of the acoustic horizon and calculate analytically the corresponding analogue surface gravity κ and the associated analogue Hawking temperature TAH. We study the dependence of κ on various boundary conditions and geometry governing the dynamic and thermodynamic properties of the background flow.