Phys.Rev.D, 110, 6 (2024)
Axial gravitational perturbations of slowly rotating compact objects in general relativity and beyond
Xing-Hui Feng1,*and Jun Peng2,†
1 Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin University, Tianjin 300350, China.
2 Institute of Theoretical Physics, School of Physics and Optoelectronic Engineering, Beijing University of Technology, Beijing 100124, China.
* xhfeng@tju.edu.cn
† junpeng@bjut.edu.cn
Abstract
We study the axial gravitational perturbations of slowly-rotating compact objects which are assumed to be supported by anisotropic fluids. We find that the gravitational perturbations decouple from the matter perturbations for axial sectors. We obtain a master wave equation whose potential is fully determined by the metric functions. This equation makes the calculations of gravitational QNMs for rotating compact objects extremely easy in specific background configurations.
