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Quasinormal modes of static and spherically symmetric black holes with the derivative coupling

  • Shuang Yu
  • Changjun GaoEmail author
Research Article
  • 55 Downloads

Abstract

We investigate the quasinormal modes of a class of static and spherically symmetric black holes with the derivative coupling. The derivative coupling has rarely been paid attention to the study of black hole quasinormal modes. Specifically, we study the effect of derivative coupling on the quasinormal modes for four kinds of black holes. They are Reissner–Nordström black holes, Bardeen black holes, noncommunicative geometry inspired black holes and dilaton black holes. These black holes are not the solutions of vacuum Einstein equations which guarantees the effect of derivative coupling is not trivial. We find the influence of derivative coupling on the quasinormal modes roughly mimics the overtone numbers. In other words, there is a qualitative similarity in the trend of quasinormal modes frequencies due to increasing either the coupling constant and the overtone number.

Keywords

Black hole Quasinormal modes Derivative coupling 

Notes

Acknowledgements

We are very grateful to the referees for the expert suggestions which have improved the paper significantly. Shuang Yu is very grateful to Xiao Guo, Chen Wang, Weiyang Wang, Xing Wang and Shifan Zuo for their great help during this research. This work is partially supported by China Program of International ST Cooperation 2016YFE0100300, the Strategic Priority Research Program “Multi-wavelength Gravitational Wave Universe” of the CAS, Grant No. XDB23040100, the Joint Research Fund in Astronomy (U1631118), and the NSFC under Grants 11473044, 11633004 and the Project of CAS, QYZDJ-SSW-SLH017.

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Authors and Affiliations

  1. 1.Key Laboratory of Computational Astrophysics, National Astronomical ObservatoriesChinese Academy of SciencesBeijingChina
  2. 2.School of Astronomy and Space SciencesUniversity of Chinese Academy of SciencesBeijingChina

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