Sci.China Phys.Mech.Astron. 69, 5, 250411 (2026)
Full spectrum of Love numbers of Reissner-Nordström black hole in D-dimensions
Minghao Xia1, LiangMa1, Yi Pang1,2 and Hong Lu1,2,3
1 Center for Joint Quantum Studies, Department of Physics, School of Science, Tianjin University, Tianjin 300350, China.
2 Peng Huanwu Center for Fundamental Theory, Hefei, Anhui 230026, China.
3 Joint School of National University of Singapore and Tianjin University, International Campus of Tianjin University, Binhai New City, Fuzhou 350207, China.
* pangyi1@tju.edu.cn
Abstract
We present a comprehensive analysis of the full spectrum of tidal Love numbers for Reissner Nordstr¨om (RN) black holes in general spacetime dimensions. By perturbing the Einstein Maxwell theory around the D-dimensional RN background, we derive an effective two di mensional quadratic action encompassing tensor, vector, and scalar-type perturbation sectors. Through diagonalization, we obtain master equations governing each sector and extract the corresponding Love numbers from the asymptotic behavior of the solutions. Our results con firm that all Love numbers vanish for four-dimensional RN black holes. In higher dimensions, the tensor and vector Love numbers reproduce previously known results. For the previously unknown scalar-type Love numbers, we show also they vanish for integer valued effective mul tipolar indices and display logarithmic running behavior when the corresponding indices are half integers.
