Nonlinear effects in the excited states of many-fermion Einstein-Dirac solitons
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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.
Leith , P E D , Hooley , C A , Horne , K & Dritschel , D G 2021 , ' Nonlinear effects in the excited states of many-fermion Einstein-Dirac solitons ' , Physical review. D, Particles, fields, gravitation, and cosmology , vol. 104 , no. 4 , 046024 . https://doi.org/10.1103/PhysRevD.104.046024
Physical review. D, Particles, fields, gravitation, and cosmology
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DescriptionFunding: P. E. D. L. acknowledges funding from a St Leonards scholarship from the University of St Andrews and from UKRI under EPSRC Grant No. EP/R513337/1.
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