We have obtained the Generalized Uncertainty Principle (GUP) corrected de Sitter and anti-de Sitter black hole solutions in bumblebee gravity with a topological defect. We have calculated the scalar, electromagnetic and gravitational quasinormal modes for the both vanishing and non-vanishing effective cosmological constant using Padé averaged sixth order WKB approximation method. Apart from this, the time evolutions for all three perturbations are studied, and quasinormal modes are calculated using the time domain profile. We found that the first order and second order GUP parameters $α$ and $β$, respectively have opposite impacts on the quasinormal modes. The study also finds that the presence of a global monopole can decrease the quasinormal frequencies and the decay rate significantly. On the other hand, Lorentz symmetry violation has noticeable impacts on the quasinormal frequencies and the decay rate. We have studied the greybody factors, power spectrum and sparsity of the black hole with the vanishing effective cosmological constant for all the three perturbations. The presence of Lorentz symmetry breaking and the GUP parameter $α$ decrease, while other GUP parameter $β$ and the presence of global monopole increase the probability of Hawking radiation to reach the spatial infinity. The presence of Lorentz violation can make the black holes less sparse, while the presence of a global monopole can increase the sparsity of the black holes. Moreover, we have seen that the black hole area quantization rule is modified by the presence of Lorentz symmetry breaking.
Quasinormal Modes of Massive Scalar Perturbations in Slow-Rotation Bumblebee Black Holes with Traceless Conformal Electrodynamics
Khazar University（哈萨尔大学）；Chitkara University（奇特卡拉大学）；University of Nizwa（尼兹瓦大学）；Lanzhou University（兰州大学）；Hunan Institute of Technology（湖南工程学院）；Hunan Normal University（湖南师范大学）；Al-Farabi Kazakh National University（阿尔法拉比哈萨克国立大学）
Reply to "Comment on 'Greybody radiation and quasinormal modes of Kerr-like black hole in Bumblebee gravity model' "
在我们最近的研究中，参考文献[1]：Eur. Phys. J. C 81，501（2021），主要目标是通过灰体因子和准正规模分析揭示旋转黑洞中的洛伦兹对称性破缺（LSB）效应。Ding等[2]在本文[1]中使用的大黄蜂引力模型的类克尔黑洞解已被Maluf和Muniz [3]毫无疑问地证明是错误的。我们现在解释在什么条件下灰体因子和拟正态模分析在[1]中进行变得有效。我们根据所讨论的条件重新进行计算，并在本文中给出新的结果。
Accretion, greybody factor, quasinormal modes, power spectrum, sparsity of Hawking radiation, and weak gravitational lensing of a minimum measurable length inspired Schwarzchild black hole
Quasinormal modes and late time tails of perturbation fields on a Schwarzschild-like black hole with a global monopole in the Einstein-bumblebee theory
Investigating the Connection between Generalized Uncertainty Principle and Asymptotically Safe Gravity in Black Hole Signatures through Shadow and Quasinormal Modes
Geodesic structure, eikonal quasinormal modes and thermodynamic properties of a Schwarzschild-de Sitter-like black hole with global monopole in Bumblebee gravity
Gravitational aspects of a new bumblebee black hole
Universidade Federal da Paraíba（帕拉伊巴联邦大学）；Universidade Federal de Campina Grande（坎皮纳格兰德联邦大学）；Khazar University（哈扎尔大学）；Damghan University（达姆甘大学）；Federal University of Paraíba（帕拉伊巴联邦大学）
A general static and spherically symmetric black hole in traceless metric-affine bumblebee gravity
Universidade Federal da Paraíba（帕拉伊巴联邦大学）；Universidade Federal de Campina Grande（坎皮纳格兰德联邦大学）；Khazar University（哈扎尔大学）；Damghan University（达姆甘大学）；Instituto de Astrofísica e Ciências do Espaço, Faculdade de Ciências da Universidade de Lisboa（里斯本大学理学院空间科学与天体物理研究所）；Departamento de Física, Faculdade de Ciências da Universidade de Lisboa（里斯本大学理学院物理学系）
