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

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 nu...

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Veröffentlicht in:Physical review. D 2021-08, Vol.104 (4), p.1, Article 046024
Hauptverfasser: Leith, Peter E. D., Hooley, Chris A., Horne, Keith, Dritschel, David G.
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Sprache:eng
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Zusammenfassung: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.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.104.046024