Institute of Theoretical Physics · Faculty of Mathematics and Physics, Charles University
Phys. Rev. D 112(12), L121504 (2025)
Recently, there has been a lot of interest in Carroll black holes and in particular whether or not one could find a Carrollian analog of a rotating black hole spacetime. Here we show that every stationary and axisymmetric solution (and thence also a black hole) of Carrollian general relativity in any number of d > 3 dimensions is necessarily also static (up to a "topological rotation"). The case of d = 3 dimensions is special. There, the topological rotation is important and one can have a rotating Carroll Ba & nacute;ados-Teitelboim-Zanelli black hole, obtained from a static one by the Carroll boost accompanied by the reidentification of the angular coordinate, similar to what happens in the Lorentzian case. We also find a Carrollian analog of an accelerating black hole, showing that Schwarzschild is not the only possible stationary and axisymmetric Carroll black hole in four dimensions. A generalization of the no go theorem to include Maxwell, dilatonic, and axionic matter fields is also discussed.
@article{UTF1059,
author = {Kolář, I. and Kubizňák, D. and Tadros, P.},
title = {{Rotating Carroll black holes: A no go theorem}},
journal = {Phys. Rev. D},
volume = {112},
number = {12},
pages = {L121504},
year = {2025},
month = {12},
doi = {10.1103/twv1-kphf},
eprint = {2506.10451},
archivePrefix = {arXiv},
url = {https://doi.org/10.1103/twv1-kphf},
}