Noncommutative Correction to the Entropy of Charged BTZ Black Hole

Noncommutative geometry is an established potential candidate for including quantum phenomena in gravitation. We outline the formalism of Hopf algebras and its connection to algebra infinitesimal diffeomorphisms. Using a Drinfeld twist we deform spacetime symmetries, vector fields differential forms leading formulation noncommutative Einstein equations. study concrete example charged BTZ deformations steaming from so called angular twist. The entropy black hole obtained using brick-wall method. used scalar field as probe spectrum density states via WKB approximation. provide method calculate corrections Bekenstein-Hawking higher orders WKB, but present final result lowest order. that even order entropy, general, contains powers $\hbar$, it has logarithmic corrections, polynomials logarithms area.