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Area spectra of extreme Kerr and nearly extreme Kerr–Newmann black holes from quasinormal modes

General Relativity and Gravitation volume 45, pages 1711–1721 (2013)Cite this article

Abstract

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 Mäkelä et al. to avoid the zero temperature and to guarantee the (nearly-) extreme black holes quantizable.

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Acknowledgments

This work is supported by Promotive research fund for excellent young and middle-aged scientists of Shandong Province(Grant No BS2012SF006) and Doctoral Fund of QUST (Grant No. 0022171).

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Authors and Affiliations

  1. School of Mathematics and Physics, Qingdao University of Science and Technology, Qingdao, 266061, Shandong, People’s Republic of China

    Guanghai Guo

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  1. Guanghai Guo
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Correspondence to Guanghai Guo.

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Guo, G. Area spectra of extreme Kerr and nearly extreme Kerr–Newmann black holes from quasinormal modes. Gen Relativ Gravit 45, 1711–1721 (2013). https://doi.org/10.1007/s10714-013-1550-9

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  • DOI: https://doi.org/10.1007/s10714-013-1550-9

Keywords

  • Area spectra
  • Quasinormal modes
  • Kerr black hole
  • Kerr–Newmann black hole