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

Alexis Larranaga; Juan Carlos Jimenez

paper

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

arXiv:1210.2650

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 $M_{0} - \frac{Q _{0}^{2}}{r} = 2 S T$ depending on the noncommutative scale length $ℓ$ .