On the realizability of relativistic acoustic geometry under a generalized perturbation scheme for axisymmetric matter flow onto black holes

TL;DR

This paper introduces a new linear perturbation method to analyze the stability of axisymmetric matter flows around black holes, revealing the emergence of relativistic acoustic geometry and linking accretion physics with analogue gravity.

Contribution

It presents a novel perturbation scheme for stability analysis and demonstrates the realization of relativistic acoustic geometry in black hole accretion flows.

Findings

Relativistic acoustic geometry can emerge from stability analysis of black hole accretion flows.

The perturbation scheme applies to both Schwarzschild and rotating Rindler spacetimes.

The work bridges accretion physics and analogue gravity phenomena.

Abstract

We propose a novel linear perturbation scheme to study the stability properties of the stationary transonic integral solutions for axisymmetric matter flow around astrophysical black holes for the Schwarzschild as well as for rotating Rindler space time. We discuss the emergence of the relativistic acoustic geometry as a consequence of such stability analysis. Our work thus makes a crucial connection between two apparently non-overlapping fields of research - the accretion astrophysics and the analogue gravity phenomena.