Noncommutative correction to the entropy of Schwarzschild black hole with GUP

In this paper we study through tunneling formalism, the effect of noncommutativity to Hawking radiation and the entropy of the noncommutative Schwarzschild black hole. In our model we have considered the noncommutativity implemented via the Lorentzian distribution. We obtain noncommutative corrections to the Hawking temperature using the Hamilton-Jacobi method and the Wentzel-Kramers-Brillouin (WKB) approximation. In addition, we found corrections of the logarithmic and other types due to noncommutativity and quantum corrections from the generalized uncertainty principle (GUP) for the entropy of the Schwarzschild black hole.

Automated summary

This paper investigates the impact of noncommutativity on Hawking radiation and the entropy of the noncommutative Schwarzschild black hole using tunneling formalism. Corrections to the Hawking temperature and entropy of the black hole were obtained through the Hamilton-Jacobi method and the WKB approximation, revealing logarithmic and other types of corrections due to noncommutativity and quantum corrections from the generalized uncertainty principle (GUP).