Acoustic geometry obtained through the perturbation of the Bernoulli's constant

TL;DR

This paper shows that perturbing Bernoulli's constant in fluid flow models around black holes creates an analogue gravity effect, applicable in both Newtonian and relativistic frameworks.

Contribution

It introduces a novel approach by deriving an acoustic metric from Bernoulli's constant perturbation, expanding the understanding of analogue gravity in astrophysical flows.

Findings

Analogue gravity phenomena arise from Bernoulli's constant perturbation.

The acoustic metric structure is similar to that from velocity potential perturbations.

Applicable in both Newtonian and general relativistic frameworks.

Abstract

For accretion onto astrophysical black holes, we demonstrate that linear perturbation of Bernoulli's constant defined for an inviscid irrotational adiabatic flow of perfect ideal fluid gives rise to phenomena of analogue gravity. The formulation of our work is done in the Newtonian framework and also within the General relativistic framework, i.e., considering a static spacetime background, as well. The resulting structure of the analogue acoustic metric is similar to the acoustic metric found in perturbing velocity potential and mass accretion rate.