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

Published 9 Oct 2012 in gr-qc | (1210.2650v1)

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 $\ell$ .

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