2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/54564By using the brick wall method we calculate the thermodynamic potential of the complex scalar field in a charged Kerr black hole. Using it we show that in the Hartle-Hawking state the leading term of the entropy is proportional to $\frac{ A _H}{ε^2}$, which becomes divergent as the system approaches the black hole horizon. The origin of the divergence is that the density of states diverges at the horizon.Latex,10 pagesHigh Energy Physics - TheoryThe Entropy of the Complex Scalar Field in a Charged Kerr Black Holetext