Area spectra of extreme Kerr and nearly extreme Kerr-Newmann black holes from quasinormal modes. (English) Zbl 1276.83022
Summary: The area spectra of extreme Kerr and nearly extreme Kerr-Newmann black holes are investigated from quasinormal modes via Maggiore’s physical interpretation of quasinormal modes. Using the first law of black hole thermodynamics and the action variable quantization, we arrive at consistent equally spaced area and entropy spectra. Results show that the spectra are irrelevant to the parameters of the black holes and the perturbation fields, which fully agree with Bekensteins original conjecture. In the calculations, we have defined the corresponding Hawking temperatures of the black holes following the suggestion of J. Mäkelä et al. [“Quantum-mechanical model of the Kerr-Newman black hole”, Phys. Rev. D 64, Article ID 024018 (2001; doi:10.1103/PhysRevD.64.024018)] to avoid the zero temperature and to guarantee the (nearly-) extreme black holes quantizable.
MSC:
| 83C57 | Black holes |
| 83C25 | Approximation procedures, weak fields in general relativity and gravitational theory |
| 80A10 | Classical and relativistic thermodynamics |
| 94A17 | Measures of information, entropy |
| 83C47 | Methods of quantum field theory in general relativity and gravitational theory |
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