The effect of noncommutativity on the Schwarzschild–Tangherlini black hole stabilities in higher dimensions

Abstract

In this paper, we investigate the thermodynamic properties of the Schwarzschild–Tangherlini black hole in [Formula: see text]-dimension in a generic noncommutativity setting in which geometry and matter are affected. A mass density and radial coordinate ([Formula: see text]) are used to carry out this assignment. At this point, the transition on the radial coordinate [Formula: see text] is really performed in the same space contrary to the Bopp shift, which requires us to operate in phase space. By contrasting our model with that of earlier research on noncommutative inspired geometry, we are able to see how two-fold deformation affects our black hole’s thermodynamic characteristics.