| Asymptotic quasinormal modes of scalar field in a gravity’s rainbow |
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| 引用本文： | 刘成周,朱建阳.Asymptotic quasinormal modes of scalar field in a gravity’s rainbow[J].中国物理 B,2009,18(10):4161-4168. |
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| 作者姓名： | 刘成周 朱建阳 |
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| 作者单位： | (1)Department of Physics, Beijing Normal University, Beijing 100875, China; (2)Department of Physics, Shaoxing College of Art
and
Science, Shaoxing 312000, China |
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| 基金项目： | 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.
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| 关 键 词： | gravity’s rainbow quasinormal modes monodromy method quantum effect |
| 收稿时间： | 1/6/2009 12:00:00 AM |
| 修稿时间： | 2/6/2009 12:00:00 AM |
Asymptotic quasinormal modes of scalar field in a gravity's rainbow |
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| Liu Cheng-Zhou and Zhu Jian-Yang.Asymptotic quasinormal modes of scalar field in a gravity's rainbow[J].Chinese Physics B,2009,18(10):4161-4168. |
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| Authors: | Liu Cheng-Zhou and Zhu Jian-Yang |
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| Affiliation: | Department of Physics, Shaoxing College of Art and Science, Shaoxing 312000, China; Department of Physics, Beijing Normal University, Beijing 100875, China |
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| 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 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. |
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| Keywords: | gravity's rainbow quasinormal
modes monodromy method quantum effect |
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