# Komar energy and Smarr formula for noncommutative Schwarzschild black hole - High Energy Physics - Theory

Komar energy and Smarr formula for noncommutative Schwarzschild black hole - High Energy Physics - Theory - Download this document for free, or read online. Document in PDF available to download.

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.

Author: ** Rabin Banerjee, Sunandan Gangopadhyay**

Source: https://arxiv.org/