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

• URL: http://arxiv.org/abs/2105.12672v1
• Date: Wed, 26 May 2021 16:37:09 GMT
• Title: Nonlinear effects in the excited states of many-fermion Einstein-Dirac solitons
• Authors: Peter E. D. Leith, Chris A. Hooley, Keith Horne, David G. Dritschel
• Abstract summary: We present an analysis of excited-state solutions for a gravitationally localized system consisting of a filled shell of high-angular-momentum fermions. We show that, even when the particle number is relatively low, the increased nonlinearity in the system causes a significant deviation in behavior from the two-fermion case.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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 ($N_f\ge 6$), 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.

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