# Accretion onto a noncommutative geometry inspired black hole

## TL;DR

This paper investigates how noncommutative geometry influences spherical accretion onto black holes, modifying flow parameters and potentially decreasing the sonic radius, thus extending Michel's classical accretion solution.

## Contribution

It generalizes Michel's accretion solution to noncommutative inspired black holes, providing explicit expressions for flow parameters and analyzing the impact of noncommutativity.

## Key findings

- Accretion rate remains proportional to M^2.
- Sonic radius decreases due to noncommutative effects.
- Flow parameters are significantly modified by noncommutativity.

## Abstract

The spherically symmetric accretion onto a noncommutative (NC) inspired Schwarzschild black hole is treated for a polytropic fluid. The critical accretion rate $\dot{M}$, sonic speed $a_s$ and other flow parameters are generalised for the NC inspired black hole and compared with the results obtained for the standard Schwarzschild black holes. We also derive explicit expressions for gas compression ratios and temperature profiles below the accretion radius and at the event horizon. This analysis is a generalisation of Michel's solution to the NC geometry. Owing to the NC corrected black hole, the accretion flow parameters have also been modified. It turns out that $ \dot{M} \approx {M^2}$ is still achievable but $r_s$ seems to be substantially decreased due to NC effects, that in turn does affect the accretion process.