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arXiv · 2606.24365

Fermionic Love number of higher-dimensional Reissner-Nordstr\"om black holes

Xiankai Pang·Yu Tian·Hongbao Zhang·Qingquan Jiang
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Abstract

In this paper, we generalize our previous work on the fermionic tidal Love numbers (TLNs) to higher-dimensional Reissner-Nordstr\"om black holes. The massless Dirac equation is solved in $D$-dimensional spacetime using ingoing Eddington coordinates and regular tetrads. After identifying the regular solution branch, we extract the fermionic TLNs from its asymptotic behavior at infinity. The resulting TLNs exhibit a rich dimension-dependent structure that generalizes the four-dimensional case. Unlike bosonic TLNs, which vanish for certain values of the total angular momentum $l$ in dimensions $D>4$, fermionic TLNs remain non-zero for all $l$ and $D \geq 4$, except for extremal black holes. Moreover, the $l$-dependence weakens as $D$ increases, disappearing entirely in the infinite-dimensional limit. These results provide new insights into black hole responses to fermionic perturbations in higher-dimensional spacetimes.

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Xiankai Pang, Yu Tian, Hongbao Zhang, Qingquan Jiang. 2026-06-23. Fermionic Love number of higher-dimensional Reissner-Nordstr\"om black holes. https://arxiv.org/abs/2606.24365

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