Accretion Processes for General Spherically Symmetric Compact Objects

TL;DR

This paper explores how accretion occurs around various spherically symmetric compact objects, analyzing fluid flow, sound velocity, and mass change rates using general and specific black hole metrics.

Contribution

It introduces a comprehensive analysis of accretion processes across different spherically symmetric geometries, including calculations of sound speed and mass variation.

Findings

Derived the sound velocity during accretion for various metrics.

Calculated the critical flow speed around black holes.

Analyzed the mass change rate for different spherically symmetric solutions.

Abstract

We investigate the accretion process for different spherically symmetric space-time geometries for a static fluid. We analyse this procedure using the most general black hole metric ansatz. After that, we examine the accretion process for specific spherically symmetric metrics obtaining the velocity of the sound during the process and the critical speed of the flow of the fluid around the black hole. In addition, we study the behaviour of the rate of change of the mass for each chosen metric for a barotropic fluid.