Model dependence of the multi-transonic behavior, stability properties and corresponding acoustic geometry for accretion onto a spinning black hole
Sonali Saha, Sharmistha Sen, Sankhasubhra Nag, Suparna Roychowdhury, and Tapas K Das

TL;DR
This paper investigates how different disc geometries affect multi-transonic accretion, shock properties, and acoustic geometry around spinning black holes, considering various physical scenarios and black hole spins.
Contribution
It provides a comparative analysis of multi-transonic accretion across different disc models and examines the influence of black hole spin on shock characteristics and surface gravity.
Findings
Shock characteristics vary with black hole spin across disc models
Surface gravity shows dependence on black hole spin and disc geometry
Accretion flow behavior differs between adiabatic and isothermal cases
Abstract
Multi-transonic accretion for a spinning black hole has been compared among different disc geometries within post Newtonian pseudo potential framework. The variation of stationary shock characteristics with black hole spin has been studied in details for all the disc models and compared for adiabatic as well as for isothermal scenario. The variations of surface gravity with spin for all these cases have also been investigated.
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