Quantum tunneling and spectroscopy of noncommutative inspired Kerr black hole

TL;DR

This paper investigates the thermodynamics and radiation spectrum of a noncommutative inspired Kerr black hole, revealing modifications in temperature due to noncommutativity but no change in entropy quantization.

Contribution

It introduces a novel analysis of black hole thermodynamics incorporating noncommutative geometry effects using Hamilton-Jacobi and density matrix methods.

Findings

Radiation temperature is modified by noncommutativity.

Angular momentum of tunneling particles does not affect temperature.

Entropy spectrum quantization remains unchanged by noncommutativity.

Abstract

We discuss the thermodynamics of the noncommutative inspired Kerr black hole by means of a reformulated Hamilton-Jacobi method and a dimensional reduction technique. In order to investigate the effect of the angular momentum of the tunneling particle, we calculate the wave function to the first order of the WKB ansatz. Then, using a density matrix technique we derive the radiation spectrum from which the radiation temperature can be read out. Our results show that the radiation of this noncommutative inspired black hole corresponds to a modified temperature which involves the effect of noncommutativity. However, the angular momentum of the tunneling particle has no influence on the radiation temperature. Moreover, we analyze the entropy spectrum and verify that its quantization is modified neither by the noncommutativity of spacetime nor by the quantum correction of wave functions.