Fermion states localized on a self-gravitating Skyrmion


Dzhunushaliev V. Folomeev V. Kunz J. Shnir Y.
August 2024Elsevier B.V.

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
2024#855

We investigate self-gravitating solutions of the Einstein-Skyrme theory coupled to spin-isospin Dirac fermions and consider the dependence of the spectral flow on the effective gravitational coupling constant and on the Yukawa coupling. It is shown that the effects of the backreaction of the fermionic mode may strongly deform the configuration. Depending on the choice of parameters, solutions with positive, negative and zero ADM mass may arise. The occurrence of regular anti-gravitating asymptotically flat solutions with negative ADM mass is caused by the violation of the energy conditions.



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Department of Theoretical, 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, D-26111, Germany
BLTP, JINR, Moscow Region, Dubna, 141980, Russian Federation

Department of Theoretical
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

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