Charged and rotating near-horizon geometries in five dimensions
Abstract
We present new charged and rotating near-horizon geometries in five-dimensional Einstein-Maxwell theory in closed analytic form. The solutions can be parametrised by the charge and two independent angular momenta. We also generalise these near-horizon geometries to theories with an additional Chern-Simons term in the action multiplied by an arbitrary coupling constant. The new solutions have the same entropy relations as expected for charged versions of extremal Myers-Perry black holes and for rotating versions of extremal Reissner-Nordström-Tangherlini black holes, but they do not reduce to the Myers-Perry horizon in the vacuum limit. The horizon cross-sections are spherical and carry a Sasakian structure. We exploit this structure to prove a characterisation of our solutions: without any symmetry assumptions, they are the most general rotating extremal horizons for which the co-rotating electric field is a (non-zero) constant. We further extend this construction to higher dimensions, where we show that any Sasaki-Einstein manifold generates a two-parameter family of charged and rotating horizons.
Related
- Micron-sized Extra Dimensions and Primordial Black Holes: Charged, Rotating, and Memory Burdened
- An Exact Single-Rotating Near-Horizon Geometry in Einstein-Gauss-Bonnet Gravity
- The warp factor of supersymmetric D=11 near-horizon geometries: single-point rigidity, the Spin(7) perfect square, and global constraints
- A non-uniform local reference frame method for the simulation of rotating geometries with non-conformal grids on the hybrid recursive regularized lattice Boltzmann method
- Extending the model of rotating acoustic geometries to include nonvanishing solid-body rotation: Quasibound spectra
BibTeX
@misc{colling2026charged,
title = {{Charged and rotating near-horizon geometries in five dimensions}},
author = {Alex Colling and Jun Liu},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2606.26263},
eprint = {2606.26263},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.26263},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Charged and rotating near-horizon geometries in five dimensions
AU - Alex Colling
AU - Jun Liu
PY - 2026
DA - 2026/09/07
PB - arXiv
DO - 10.48550/arxiv.2606.26263
UR - https://arxiv.org/abs/2606.26263
AB - We present new charged and rotating near-horizon geometries in five-dimensional Einstein-Maxwell theory in closed analytic form. The solutions can be parametrised by the charge and two independent angular momenta. We also generalise these near-horizon geometries to theories with an additional Chern-Simons term in the action multiplied by an arbitrary coupling constant. The new solutions have the same entropy relations as expected for charged versions of extremal Myers-Perry black holes and for rotating versions of extremal Reissner-Nordström-Tangherlini black holes, but they do not reduce to the Myers-Perry horizon in the vacuum limit. The horizon cross-sections are spherical and carry a Sasakian structure. We exploit this structure to prove a characterisation of our solutions: without any symmetry assumptions, they are the most general rotating extremal horizons for which the co-rotating electric field is a (non-zero) constant. We further extend this construction to higher dimensions, where we show that any Sasaki-Einstein manifold generates a two-parameter family of charged and rotating horizons.
ER -