Noncommutative correction to the entropy of Schwarzschild black hole with GUP

TL;DR

This paper investigates how noncommutativity and the generalized uncertainty principle (GUP) modify the entropy and Hawking radiation of Schwarzschild black holes, revealing new correction terms through tunneling formalism.

Contribution

It introduces a model incorporating noncommutativity via Lorentzian distribution and derives novel corrections to black hole entropy and temperature.

Findings

Noncommutative corrections to Hawking temperature derived

Logarithmic and additional entropy corrections identified

Quantum GUP effects further modify entropy expressions

Abstract

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 non-commutative 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.