Nonlinear effects in the excited states of many-fermion Einstein-Dirac solitons

Abstract

We present an analysis of excited-state solutions for a gravitationally localized system consisting of a filled shell of high-angular-momentum fermions, using the Einstein-Dirac formalism introduced by Finster, Smoller, and Yau [Phys. Rev. D 59, 104020 (1999). We show that, even when the particle number is relatively low (N f ≥ 6), the increased nonlinearity in the system causes a significant deviation in behavior from the two-fermion case. Excited-state solutions can no longer be uniquely identified by the value of their central redshift, with this multiplicity producing distortions in the characteristic spiraling forms of the mass-radius relations. We discuss the connection between this effect and the internal structure of solutions in the relativistic regime.

Dirac stars in wormhole spacetime

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Excited Dirac stars with higher azimuthal harmonic index

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Time-dependent Spinor field in a static cylindrically-symmetric space-time

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