Gravitating Skyrmions with localized fermions
Dzhunushaliev V. Folomeev V. Kunz J. Shnir Y.
April 2025Springer Nature
European Physical Journal C
2025#85Issue 4
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.
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Department of Theoretical and Nuclear Physics, Al-Farabi Kazakh National University, Almaty, 050040, Kazakhstan
Institute of Nuclear Physics, Almaty, 050032, Kazakhstan
Academician J. Jeenbaev Institute of Physics of the NAS of the Kyrgyz Republic, 265 a, Chui Street, Bishkek, 720071, Kyrgyzstan
International Laboratory for Theoretical Cosmology, Tomsk State University of Control Systems and Radioelectronics (TUSUR), Tomsk, 634050, Russian Federation
Institute of Physics, Carl von Ossietzky University Oldenburg, Oldenburg, 26111, Germany
BLTP, JINR, Dubna, 141980, Russian Federation
Hanse-Wissenschaftskolleg, Lehmkuhlenbusch 4, Delmenhorst, 27733, Germany
Department of Theoretical and Nuclear Physics
Institute of Nuclear Physics
Academician J. Jeenbaev Institute of Physics of the NAS of the Kyrgyz Republic
International Laboratory for Theoretical Cosmology
Institute of Physics
BLTP
Hanse-Wissenschaftskolleg
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