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arxiv: 1210.2650 · v1 · pith:XVAE7ZNVnew · submitted 2012-10-09 · 🌀 gr-qc

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

classification 🌀 gr-qc
keywords noncommutativeblackchargedenergyformulageneralizedgeometryhole
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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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