Gravity as emergent phenomena for spherically symmetric black hole accretion of multi-component flow with relativistic equation of state

TL;DR

This paper explores how analogue gravity phenomena emerge from spherically symmetric black hole accretion flows with relativistic multi-component fluids, revealing sonic horizons and stability properties through linear perturbation analysis.

Contribution

It introduces a novel analysis of analogue gravity in multi-component relativistic accretion flows onto black holes, including stability and surface gravity variations.

Findings

Formation of black hole-like sonic metrics within accreting matter

Identification of acoustic horizons via causal structure analysis

Variation of analogue surface gravity with flow parameters

Abstract

We investigate analogue gravity phenomena arising as a result of the linear perturbation of the spherically symmetric accretion flows onto non rotating black holes, where the gravitational field is determined by a set of post Newtonian pseudo Schwarzschild black hole potentials and the infaling matter is described by a relativistic multi-species equation of state. The stationary transonic integral accretion solutions corresponding to the steady state of aforementioned type of accreting systems are constructed and the stability analysis of such solutions are performed through the time dependent linear perturbation of the accretion flow. Such linear stability analysis leads to the formation of a black hole like sonic metric embedded within the infalling matter. The acoustic horizons are then identified by constructing the causal structure, i.e., the Carter-Penrose diagrams. The variation of the analogue surface gravity corresponding to the aforementioned sonic metric has been studied as a function of various parameters governing the accretion flow.