期刊
PHYSICAL REVIEW D
卷 104, 期 4, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.104.046024
关键词
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资金
- University of St Andrews
- UKRI under EPSRC [EP/R513337/1]
- EPSRC [EP/R513337/1] Funding Source: UKRI
The study analyzes excited-state solutions for a gravitationally localized system with high-angular-momentum fermions, showing that increased nonlinearity causes deviations in behavior compared to a two-fermion case. The multiplicity of excited-state solutions leads to distortions in the characteristic spiraling forms of mass-radius relations, with a discussion on the connection to the internal structure of relativistic solutions.
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.
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