Quantum tunneling and spectroscopy of noncommutative inspired Kerr black hole
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.
Keywords
Cite
@article{arxiv.1102.0074,
title = {Quantum tunneling and spectroscopy of noncommutative inspired Kerr black hole},
author = {Yan-Gang Miao and Zhao Xue and Shao-Jun Zhang},
journal= {arXiv preprint arXiv:1102.0074},
year = {2012}
}
Comments
14 pages, no figures; v2: clarifications and references added; v3: 15 pages, clarifications and references added; v4: minor corrections, final version to appear in Int. J. Mod. Phys. D