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.

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

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• Shadow of a Charged Rotating Non-Commutative Black Hole
• Noncommutative correction to the entropy of Schwarzschild black hole with GUP
• Probing spacetime noncommutative constant via charged astrophysical black hole lensing
• Holographic thermalization in noncommutative geometry
• Quantum tunneling from Schwarzschild black hole in non-commutative gauge theory of gravity
• Generating static perfect-fluid solutions of Einstein's equations
• Consistent derivation of the Hawking effect for both non-extremal and extremal Kerr black holes
• Spacetime noncommutative effect on black hole as particle accelerators
• Backreaction due to quantum tunneling and modification to the black hole evaporation process
• Hawking effect in an extremal Kerr black hole spacetime