Robustness of exact SU(N) Einstein-Skyrme solutions: black holes, wormholes and cosmologies
Abstract
The SU(2) Skyrme model admits exact solutions when coupled to General Relativity in four spacetime dimensions. Here, we demonstrate that relevant gravitational configurations, such as black holes, wormholes, and cosmologies, are robust under the extension to SU(N) with an arbitrary number of flavors. We show that key physical features, such as the thermodynamic properties, the baryon number of the configurations, and the geometry, are crucially determined by the number of flavors as well as the coupling constants of the theory. In particular: first, we prove that an increase in the matter content favors the local thermal stability of spherically symmetric black holes. Second, for cosmological solutions, we demonstrate analytically that as the hadronic matter content increases, the scale factor grows more slowly due to enhanced gravitational attraction, while the expansion rate (measured by the Hubble parameter) increases as a consequence of the higher energy density. Third, we find that the throat of traversable wormhole solutions can be enlarged by increasing the number of flavors, since the energy density required to keep the throat open does not grow indefinitely but rather saturates at a finite value.
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BibTeX
@misc{henriquezbaez2026robustness,
title = {{Robustness of exact $SU(N)$ Einstein-Skyrme solutions: black holes, wormholes and cosmologies}},
author = {Carla Henríquez-Baez and Perla Medina and Pablo Rodríguez and Aldo Vera},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.13566},
eprint = {2610.13566},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.13566},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Robustness of exact SU(N) Einstein-Skyrme solutions: black holes, wormholes and cosmologies
AU - Carla Henríquez-Baez
AU - Perla Medina
AU - Pablo Rodríguez
AU - Aldo Vera
PY - 2026
DA - 2026/10/09
PB - arXiv
DO - 10.48550/arxiv.2610.13566
UR - https://arxiv.org/abs/2610.13566
AB - The SU(2) Skyrme model admits exact solutions when coupled to General Relativity in four spacetime dimensions. Here, we demonstrate that relevant gravitational configurations, such as black holes, wormholes, and cosmologies, are robust under the extension to SU(N) with an arbitrary number of flavors. We show that key physical features, such as the thermodynamic properties, the baryon number of the configurations, and the geometry, are crucially determined by the number of flavors as well as the coupling constants of the theory. In particular: first, we prove that an increase in the matter content favors the local thermal stability of spherically symmetric black holes. Second, for cosmological solutions, we demonstrate analytically that as the hadronic matter content increases, the scale factor grows more slowly due to enhanced gravitational attraction, while the expansion rate (measured by the Hubble parameter) increases as a consequence of the higher energy density. Third, we find that the throat of traversable wormhole solutions can be enlarged by increasing the number of flavors, since the energy density required to keep the throat open does not grow indefinitely but rather saturates at a finite value.
ER -