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Abstract: We calculate the Komar energy $E$ for a noncommutative Schwarzschild blackhole. A deformation from the conventional identity $E=2ST H$ is found in thenext to leading order computation in the noncommutative parameter $\theta$i.e. $\mathcal{O}\sqrt{\theta}e^{-M^2-\theta}$ which is also consistentwith the fact that the area law now breaks down. This deformation yields anonvanishing Komar energy at the extremal point $T {H}=0$ of these black holes.We then work out the Smarr formula, clearly elaborating the differences fromthe standard result $M=2ST H$, where the mass $M$ of the black hole isidentified with the asymptotic limit of the Komar energy. Similar conclusionsare also shown to hold for a deSitter-Schwarzschild geometry.



Autor: Rabin Banerjee, Sunandan Gangopadhyay

Fuente: https://arxiv.org/







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