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

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

doi:10.1103/PhysRevD.104.046024

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

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

Research output: Contribution to journal › Article › peer-review

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 (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 language	English
Article number	046024
Number of pages	19
Journal	Physical review. D, Particles, fields, gravitation, and cosmology
Volume	104
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevD.104.046024
Publication status	Published - 24 Aug 2021

Access to Document

10.1103/PhysRevD.104.046024

Leith-2021-Nonlinear-effects-in-the-PhysRevD-104-046024
Copyright © 2021 American Physical Society. This work has been made available online in accordance with publisher policies or with permission. Permission for further reuse of this content should be sought from the publisher or the rights holder. This is the author created accepted manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at https://doi.org/10.1103/PhysRevD.104.046024.
Final published version, 2.68 MB

Dirac solitons in general relativity: many-fermion states, singular solutions & the inclusion of a Higgs mechanism
Leith, P. E. D. (Author), Hooley, C. (Supervisor), Horne, K. D. (Supervisor) & Dritschel, D. G. (Supervisor), 12 Jun 2023
Student thesis: Doctoral Thesis (PhD)

Cite this

@article{155f39e60e8f4066b46ef6374bac34b3,

title = "Nonlinear effects in the excited states of many-fermion Einstein-Dirac solitons",

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 (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. ",

author = "Leith, {Peter E. D.} and Hooley, {Chris A.} and Keith Horne and Dritschel, {David G.}",

note = "Funding: 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.",

year = "2021",

month = aug,

day = "24",

doi = "10.1103/PhysRevD.104.046024",

language = "English",

volume = "104",

journal = "Physical review. D, Particles, fields, gravitation, and cosmology",

issn = "1550-7998",

publisher = "American Physical Society",

number = "4",

}

TY - JOUR

T1 - Nonlinear effects in the excited states of many-fermion Einstein-Dirac solitons

AU - Leith, Peter E. D.

AU - Hooley, Chris A.

AU - Horne, Keith

AU - Dritschel, David G.

N1 - Funding: 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.

PY - 2021/8/24

Y1 - 2021/8/24

N2 - 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.

AB - 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.

U2 - 10.1103/PhysRevD.104.046024

DO - 10.1103/PhysRevD.104.046024

M3 - Article

SN - 1550-7998

VL - 104

JO - Physical review. D, Particles, fields, gravitation, and cosmology

JF - Physical review. D, Particles, fields, gravitation, and cosmology

IS - 4

M1 - 046024

ER -

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

Abstract

Access to Document

Fingerprint

Student theses

Dirac solitons in general relativity: many-fermion states, singular solutions & the inclusion of a Higgs mechanism

Cite this