On the Komar Energy and the Generalized Smarr Formula for a Charged Black Hole of Noncommutative Geometry

Abstract

We calculate the Komar energy $E$ for a charged black hole inspired by noncommutative geometry and identify the total mass ($M_{0}$) by considering the asymptotic limit. We also found the generalized Smarr formula, which shows a deformation from the well known relation $M_{0}-\frac{Q_{0}^{2}}{r}=2ST$ depending on the noncommutative scale length $\ell$ .