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

Peter E. D. Leith, Chris A. Hooley, Keith Horne, David G. Dritschel

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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 (Nf ≥ 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.
Original languageEnglish
Article number046024
Number of pages19
JournalPhysical review. D, Particles, fields, gravitation, and cosmology
Issue number4
Publication statusPublished - 24 Aug 2021


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