Comment on "Black Hole with Quantum Potential"

TL;DR

This paper critiques Ali and Khalil's work on a quantum-modified black hole, highlighting issues with their metric, thermodynamic calculations, and physical units, questioning the validity of their results.

Contribution

It provides a critical analysis pointing out errors and inconsistencies in Ali and Khalil's proposed quantum black hole model.

Findings

Their metric is not new and matches a known solution.

Black hole temperature and heat capacity are identical to Reissner-Nordstrom values.

The entropy expression contains errors and unit inconsistencies.

Abstract

Few comments upon Ali and Khalil's paper are pointed out. Their modified Schwarzschild metric seems not to be new as it has the same structure as Eq. (2.6) from Ref.4. Their black hole temperature $T$ and heat capacity $C$ correspond exactly to the Reissner-Nordtstrom values, with $\hbar \eta$ instead of $Q^{2}$. The expression for the black hole entropy turns out to be erronous and does not fit with the other authors' calculations. Moreover, a lot of equations have wrong physical units (terms in the same equation have different units).