Quantum tunneling and spectroscopy of noncommutative inspired Kerr black hole. (English) Zbl 1266.83123
Summary: 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.
MSC:
| 83C57 | Black holes |
| 83C47 | Methods of quantum field theory in general relativity and gravitational theory |
| 83C65 | Methods of noncommutative geometry in general relativity |
| 80A10 | Classical and relativistic thermodynamics |
| 81T20 | Quantum field theory on curved space or space-time backgrounds |
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