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arXiv · 2609.13061

Particlelike solutions of the Einstein-Dirac-Higgs equations: ground, excited, and many-fermion states

Reinosuke Kusano·Keith Horne·Peter E. D. Leith·Miguel Yulo Asuncion·Chris A. Hooley
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Abstract

We present an extended study of the gravitationally localized soliton-like solutions to the minimally-coupled Einstein-Dirac-Higgs equations, embedded in asymptotically Minkowski spacetimes. The equations of motion describing these Yukawa-coupled Dirac stars are generalized to any even number of constituent fermions. We first expand the discussion of two-fermion ground-state solutions initially analyzed in Leith et al. [Phys. Rev. D. 107, 106020 (2023)]. Upon extending our analysis to excited states and many-fermion states, we find that both exhibit different behaviors to their two-fermion ground-state counterparts. In these excited states and many-fermion states, the Higgs field may exhibit stepwise increases and at times decrease within the soliton, which has not been seen for the two-fermion ground states. We also propose the potential cause of a significant degree of ADM-to-fermion mass disparity, which is present in states with strong Yukawa-coupling.

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Reinosuke Kusano, Keith Horne, Peter E. D. Leith, Miguel Yulo Asuncion, Chris A. Hooley. 2026-09-11. Particlelike solutions of the Einstein-Dirac-Higgs equations: ground, excited, and many-fermion states. https://arxiv.org/abs/2609.13061

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