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Gravitating Skyrmions with localized fermions

High Energy Physics - Theory 2024-07-26 v1

Abstract

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.

Keywords

Cite

@article{arxiv.2407.17504,
  title  = {Gravitating Skyrmions with localized fermions},
  author = {Vladimir Dzhunushaliev and Vladimir Folomeev and Jutta Kunz and Yakov Shnir},
  journal= {arXiv preprint arXiv:2407.17504},
  year   = {2024}
}

Comments

27 pages, 8 figures. arXiv admin note: text overlap with arXiv:2401.01610

R2 v1 2026-06-28T17:52:41.175Z