中国物理B ›› 2009, Vol. 18 ›› Issue (10): 4161-4168.doi: 10.1088/1674-1056/18/10/015

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Asymptotic quasinormal modes of scalar field in a gravity's rainbow

朱建阳1, 刘成周2   

  1. (1)Department of Physics, Beijing Normal University, Beijing 100875, China; (2)Department of Physics, Shaoxing College of Art and Science, Shaoxing 312000, China
  • 收稿日期:2009-01-06 修回日期:2009-02-06 出版日期:2009-10-20 发布日期:2009-10-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10875012), the Natural Science Foundation of Shandong Province of China (Grant No Y2008A33), the Research Projects of Education Bureau of Shandong Province of China (Grant No

Asymptotic quasinormal modes of scalar field in a gravity's rainbow

Liu Cheng-Zhou(刘成周)a) and Zhu Jian-Yang(朱建阳)b)†   

  1. a Department of Physics, Shaoxing College of Art and Science, Shaoxing 312000, China; b Department of Physics, Beijing Normal University, Beijing 100875, China
  • Received:2009-01-06 Revised:2009-02-06 Online:2009-10-20 Published:2009-10-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10875012), the Natural Science Foundation of Shandong Province of China (Grant No Y2008A33), the Research Projects of Education Bureau of Shandong Province of China (Grant No

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摘要： In the framework of the gravity's rainbow, the asymptotic quasinormal modes of the modified Schwarzschild black holes undergoing a scalar perturbation are investigated. By using the monodromy method, we analytically calculated the asymptotic quasinormal frequencies, which depend on not only the mass parameter of the black hole, but also the particle's energy of the perturbation field. Meanwhile, the real parts of the asymptotic quasinormal modes can be expressed as TH\ln 3, which is consistent with Hod's conjecture. In addition, for the quantum corrected black hole, the area spacing is independent of the particle's energy, even though the area itself depends on the particle's energy. And that, by relating the area spectrum to loop quantum gravity, the Barbero-Immirzi parameter is given and it remains the same as from the usual black hole.

Abstract: In the framework of the gravity's rainbow, the asymptotic quasinormal modes of the modified Schwarzschild black holes undergoing a scalar perturbation are investigated. By using the monodromy method, we analytically calculated the asymptotic quasinormal frequencies, which depend on not only the mass parameter of the black hole, but also the particle's energy of the perturbation field. Meanwhile, the real parts of the asymptotic quasinormal modes can be expressed as THln3, which is consistent with Hod's conjecture. In addition, for the quantum corrected black hole, the area spacing is independent of the particle's energy, even though the area itself depends on the particle's energy. And that, by relating the area spectrum to loop quantum gravity, the Barbero-Immirzi parameter is given and it remains the same as from the usual black hole.

Key words: gravity's rainbow, quasinormal modes, monodromy method, quantum effect

中图分类号:  (Physics of black holes)

  • 04.70.-s
97.60.Lf (Black holes)