Multi-rotating black holes with non-aligned angular momenta in 5D Kaluza-Klein theory
Abstract
We present an exact solution describing multi-rotating black holes in 4D Einstein-Maxwell-dilaton theory, which can be obtained from 5D Kaluza--Klein theory via dimensional reduction. The solution represents a multi-centered configuration of rotating black holes carrying both electric and magnetic charges, with each black hole possessing a non-aligned angular momentum. This work generalizes our previous solution for black holes with aligned angular momenta to the more general case of non-aligned angular momenta. It includes, as special cases, the Majumdar--Papapetrou solution, the recent multi-centered rotating black hole solutions of Teo and Wan, and our previous solution with unequal electric and magnetic charges. The resulting spacetimes are free of curvature singularities and closed timelike curves, both on and outside the horizons, provided that the magnitude of the spin angular momentum of each black hole remains below a certain upper bound.
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BibTeX
@misc{tomizawa2026multirotating,
title = {{Multi-rotating black holes with non-aligned angular momenta in 5D Kaluza-Klein theory}},
author = {Shinya Tomizawa and Hideo Furugori and Jun-ichi Sakamoto and Ryotaku Suzuki},
howpublished = {arXiv},
year = {2026},
month = jul,
doi = {10.48550/arxiv.2607.11609},
eprint = {2607.11609},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.11609},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Multi-rotating black holes with non-aligned angular momenta in 5D Kaluza-Klein theory
AU - Shinya Tomizawa
AU - Hideo Furugori
AU - Jun-ichi Sakamoto
AU - Ryotaku Suzuki
PY - 2026
DA - 2026/07/13
PB - arXiv
DO - 10.48550/arxiv.2607.11609
UR - https://arxiv.org/abs/2607.11609
AB - We present an exact solution describing multi-rotating black holes in 4D Einstein-Maxwell-dilaton theory, which can be obtained from 5D Kaluza--Klein theory via dimensional reduction. The solution represents a multi-centered configuration of rotating black holes carrying both electric and magnetic charges, with each black hole possessing a non-aligned angular momentum. This work generalizes our previous solution for black holes with aligned angular momenta to the more general case of non-aligned angular momenta. It includes, as special cases, the Majumdar--Papapetrou solution, the recent multi-centered rotating black hole solutions of Teo and Wan, and our previous solution with unequal electric and magnetic charges. The resulting spacetimes are free of curvature singularities and closed timelike curves, both on and outside the horizons, provided that the magnitude of the spin angular momentum of each black hole remains below a certain upper bound.
ER -