https://doi.org/10.1140/epjc/s10052-025-14074-4
Regular Article - Theoretical Physics
Gravitating Skyrmions with localized fermions
1
Department of Theoretical and Nuclear Physics, Al-Farabi Kazakh National University, 050040, Almaty, Kazakhstan
2
Institute of Nuclear Physics, 050032, Almaty, Kazakhstan
3
Academician J. Jeenbaev Institute of Physics of the NAS of the Kyrgyz Republic, 265 a, Chui Street, 720071, Bishkek, Kyrgyzstan
4
International Laboratory for Theoretical Cosmology, Tomsk State University of Control Systems and Radioelectronics (TUSUR), 634050, Tomsk, Russia
5
Institute of Physics, Carl von Ossietzky University Oldenburg, 26111, Oldenburg, Germany
6
BLTP, JINR, 141980, Dubna, Russia
7
Hanse-Wissenschaftskolleg, Lehmkuhlenbusch 4, 27733, Delmenhorst, Germany
Received:
17
October
2024
Accepted:
14
March
2025
Published online:
7
April
2025
We consider self-gravitating Skyrmions in the presence of Dirac fermions, that carry spin and isospin. By varying the gravitational and the Yukawa coupling constants, we investigate the spectral flow of the fermion eigenvalue associated with a zero mode in the absence of gravity. We demonstrate that the backreaction of the fermion can strongly influence the Skyrmion-fermion configurations. In particular, the energy conditions may be violated, and regular anti-gravitating asymptotically flat solutions with negative ADM mass may emerge.
© The Author(s) 2025
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