Mass ladder operators and quasinormal modes of the static BTZ-like black hole in Einstein-bumblebee gravity  

作　　者：Fengkai Ge Qiyuan Pan Songbai Chen Jiliang Jing 葛丰恺;潘启沅;陈松柏;荆继良(Department of Physics,Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education,Institute of Interdisciplinary Studies,and Synergetic Innovation Center for Quantum Effects and Applications,Hunan Normal University,Changsha 410081,China;Center for Gravitation and Cosmology,College of Physical Science and Technology,Yangzhou University,Yangzhou 225009,China)

机构地区：[1]Department of Physics,Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education,Institute of Interdisciplinary Studies,and Synergetic Innovation Center for Quantum Effects and Applications,Hunan Normal University,Changsha 410081,China [2]Center for Gravitation and Cosmology,College of Physical Science and Technology,Yangzhou University,Yangzhou 225009,China

出　　处：《Chinese Physics C》2025年第1期340-349,共10页中国物理C(英文版)

基　　金：Supported by the National Key Research and Development Program of China(2020YFC2201400);the National Natural Science Foundation of China(12275078,12275079,12035005);Hunan Province College Students Research Learning and Innovative Experiment Project(S202210542197);the Innovative Research Group of Hunan Province,China(2024JJ1006)。

摘　　要：We investigate mass ladder operators for the static BTZ-like black hole in Einstein-bumblebee gravity and probe the quasinormal frequencies of the mapped modes using mass ladder operators for a scalar perturbation under Dirichlet and Neumann boundary conditions.We find that the mass ladder operators depend on the Lorentz symmetry breaking parameter,and the imaginary parts of the frequencies shifted by the mass ladder operators increase with the increase in the Lorentz symmetry breaking parameter under the two boundary conditions.Note that,under the Neumann boundary condition,the mapped modes caused by the mass ladder operator D_(0,k_(+))are unstable.Moreover,the mass ladder operators do not change the Breitenlohner-Freedman bound for the scalar modes,as in the case of the usual BTZ black hole.These results could aid us in further understanding the conformal symmetry and Lorentz symmetry breaking in Einstein-bumblebee gravity.

关 键 词：quasinormal mode mass ladder operator Einstein-bumblebee gravity static BTZ-like black hole 

分 类 号：O17[理学—数学]