Phys.Lett.B, 855, 138869 (2024)
A space/time interchange symmetry of rotating AdS black holes in general dimensions
Si-Yue Lu1, Peng Zhao1 and Hong Lü1,2
1 Joint School of National University of Singapore and Tianjin University, International Campus of Tianjin University, Binhai New City, Fuzhou 350207, China.
2 Center for Joint Quantum Studies, Department of Physics, School of Science, Tianjin University, Tianjin 300350, China.
* siyue lu@tju.edu.cn, pzhao@tjufz.org.cn, mrhonglu@gmail.com
Abstract
We revisit the previously known local inversion symmetry of the five-dimensional Kerr-AdS metric that relates the over-rotating black hole to the under-rotating one and reinterpret it as an interchanging symmetry between time and the longitudinal angular coordinates. We generalize this to all D dimensions, including D = 4, thereby enlarging the trivial linear ZN symmetry of the N = ⌊(D−1)/2⌋ longitudinal angular coordinates to the nonlinearly realized ZN+1 symmetry that involves time.
