Perturbing the ground state of Dirac stars

Abstract

Dirac stars are self-gravitating configurations of spin-1/2 fermions in which the fermions are described by the Dirac equation. After a detailed review of the derivation of the equations and their static solutions, we present an in-depth dynamical stability analysis of the ground state similar to previous studies for boson stars. We confirm that there exist both stable and unstable branches of static solutions and show that weakly perturbed Dirac stars from the unstable branch migrate to the stable branch. We also show that strongly perturbed Dirac stars from the stable branch migrate to the stable branch if their mass is below a critical value. If their mass is above the critical value they can migrate to the stable branch or collapse and form a black hole. For strongly perturbed Dirac stars from the unstable branch we show that the addition of even a small amount of mass leads to collapse, while if we decrease their mass they migrate to the stable branch.

arXiv comment17 pages, 8 figures

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Cited by in corpus (8)

• Dirac star with SU(2) Yang-Mills and Proca fields
• Dirac-boson stars
• Einstein-Dirac system in semiclassical gravity
• Are Einstein-Dirac-Maxwell wormholes traversable?
• Dynamical evolution of fermion-boson stars with realistic equations of state
• Fermion self-trapping in the optical geometry of Einstein-Dirac solitons
• Einstein-Dirac-Maxwell wormholes in quantum field theory
• Gravitationally localized states of two neutral fermions interacting with a Higgs field