The bumblebee gravity model is a vector-tensor theory of gravitation where the vector field nonminimally couples to the Ricci tensor. By investigating the vacuum field equations with spherical symmetry, we find two families of black-hole (BH) solutions in this model: one has a vanishing radial component of the vector field and the other has a vanishing radial component of the Ricci tensor. When the coupling between the vector field and the Ricci tensor is set to zero, the first family becomes the Reissner-Nordström solution while the second family degenerates to the Schwarzschild solution with the vector field being zero. General numerical solutions in both families are obtained for nonzero coupling between the vector field and the Ricci tensor. Besides BH solutions, we also reveal the existence of solutions that have a nonvanishing $tt$-component of the metric on the supposed event horizon where the $rr$-component of the metric diverges while the curvature scalars are finite. These solutions are not supported by existing observations but present certain properties that are of academic interests. We conclude the study by putting the BH solutions into tests against the Solar-system observations and the images of supermassive BHs.
Axial Obstructions to Rotating Bumblebee Vacuum Solutions
School of Physics and Astronomy, Beijing Normal University(北京师范大学物理与天文学院);Key Laboratory of Multiscale Spin Physics (Beijing Normal University), Ministry of Education(教育部多尺度自旋物理重点实验室(北京师范大学));Department of Astrophysics, School of Physics and Materials Science, Guangzhou University(广州大学物理与材料科学学院天体物理系)
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)
Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in 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);Eastern Mediterranean University(东地中海大学);University of Hradec Králové(赫拉德茨-克拉洛韦大学);Al-Farabi Kazakh National University(阿里-法拉比哈萨克国立大学)
Constrain from shadows of $M87^*$ and $Sgr A^*$ and quasiperiodic oscillations of galactic microquasars on a black hole arising from metric-affine bumblebee model
Universidade Federal de Mato Grosso(马托格罗索联邦大学);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(阿塞拜疆可汗大学)
East China University of Science and Technology(华东理工大学);Universidade Federal da Paraíba(帕拉伊巴联邦大学);Universidade Federal de Campina Grande(坎皮纳大联邦大学);Khazar University(哈扎尔大学)
A no-go theorem in bumblebee vector-tensor cosmology
University of Sheffield(谢菲尔德大学);Institute for Basic Science (IBS)(韩国基础科学研究院);Observatoire de Paris, Université PSL, CNRS, LNE, Sorbonne Université(巴黎天文台、巴黎文理研究大学、法国国家科学研究中心、法国国家天文台、索邦大学);Center for Quantum Spacetime, Sogang University(延世大学量子时空中心);Institute of Science Tokyo(东京科学大学);Yonsei University(延世大学)
Thermodynamics and Optical Properties of Charged Black Holes in Bumblebee gravity Sourced by a Cloud of Strings
The Assam Royal Global University(阿萨姆皇家全球大学);The Institute of Mathematical Sciences, C. I. T. Campus(马哈拉施特拉理工学院数学科学研究所);Al-Hussein Bin Talal University(侯赛因·本·塔拉勒大学)
Holographic description of RN-like black hole in bumblebee gravity
Faculty of Science, Kunming University of Science and Technology(昆明理工大学理学院);Institute of Fundamental Physics and Quantum Technology & Zhejiang Key Laboratory of Extreme Universe & School of Physical Science and Technology, Ningbo University(宁波大学物理科学与技术学院、基础物理学与量子技术研究所及浙江省极端宇宙重点实验室);Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin University(天津大学理学院物理系及联合量子研究中心)
Quasinormal modes and late time tails of perturbation fields on a Schwarzschild-like black hole with a global monopole in the Einstein-bumblebee theory
Asymptotically-flat Black holes in Bumblebee gravity: Exact solutions and Thermodynamics
Guangzhou University(广州大学);Guangxi University(广西大学);Southern Medical University(南方医科大学);Peking University(北京大学);National Astronomical Observatories, Chinese Academy of Sciences(中国科学院国家天文台)