Geometry and thermodynamics of smeared Reissner-Nordström black holes in d-dimensional AdS spacetime

We construct a family of d-dimensional Reissner-Nordström-AdS black holes inspired by noncommutative geometry. The density distribution of the gravitational source is determined by the dimension of space, the minimum length of spacetime l, and other parameters (e.g., n relating to the central matter density). The curvature of the center and some thermodynamic properties of these black holes are investigated. We find that the center of the source is nonsingular for n≥ 0 (under certain conditions it is also nonsingular for -2 ≤ n < 0), and the properties at the event horizon, including the Hawking temperature, entropy, and heat capacity, are regular for n >-2. Due to the presence of l, there is an exponentially small correction to the usual entropy.