Comment on "Ground state of a bosonic massive charged particle in the presence of external fields in a G\"{o}del-type space-time [Eur. Phys. J. Plus (2018) 133 : 530]"

TL;DR

This paper critiques a previous study's incorrect derivation of the Klein-Gordon equation in G"{o}del-type space-time with external potentials, providing corrected equations and challenging prior energy eigenvalues.

Contribution

It offers a corrected derivation of the Klein-Gordon equation in G"{o}del-type space-time with external fields, rectifying errors in earlier work.

Findings

Corrected the radial wave equation for Klein-Gordon in G"{o}del-type space-time.

Showed that previous energy eigenvalues were incorrect due to derivation errors.

Provided accurate equations for future research in this domain.

Abstract

We point out incorrect equations derived in a paper published in this journal Ref. [1] (E. O. Silva, Eur. Phys. J. Plus (2018) 133 : 530) for the Klein-Gordon equation with the Aharonov-Bohm and Coulomb potentials in a G\"{o}del-type space-time. We derive the final form of the radial wave equation of the Klein-Gordon equation in the Som-Raychaudhuri space-time with these potentials and show that the derive equation here jeopardize the equations obtained in Ref. [1] and therefore, the energy eigenvalues presented there is incorrect.