Skip to content
DraconiticResearch
Search Sources API
201,818 studies31 sourcesUpdated 5 min ago
PreprintCC BY 4.0arXiv

Dirac fields in LRS III spacetimes: a dynamical systems analysis

  • Fabrizio Esposito
  • Sante Carloni
  • Stefano Vignolo
Open at sourcePDFDOICite

Abstract

Within the 1+1+2 covariant formalism, we investigate Locally Rotationally Symmetric (LRS) class III spacetimes sourced by a self-gravitating Dirac field expressed in polar form. By recasting the covariant field equations into an autonomous dynamical system, we perform a phase-space analysis of their solutions. We show that the cosmological evolution asymptotically converges to a contracting Bianchi I spacetime, a result also supported by numerical integrations of the system.

Related

  1. Large-Chern-number flat bands, anomalous Dirac cones, and unconventional superfluidity in square-lattice systems with SU(N) non-Abelian gauge fields
    Wentao Zhong, Zhongbo Yan
    arXivPreprintCC BY-NC-ND 4.0Full textAtomic, molecular & optical physicsCondensed matterarXiv
  2. Photon spheres in dynamical spacetimes
    David Díaz-Guerra, Ángel Rincón, Diego Rubiera-Garcia
    arXivPreprintCC BY 4.0Full textGravitation & general relativityarXiv
  3. Classical and quantum scattering of massive Klein--Gordon fields in asymptotically flat spacetimes
    Mikhail Molodyk
    arXivPreprintarXiv licenceFull textAnalysis & PDEsMathematical physicsarXiv
  4. Renormalized Dynamical Friction in Black-Hole Spacetimes
    Jordan Wilson-Gerow
    arXivPreprintarXiv licenceFull textHigh-energy astrophysicsGravitation & general relativityarXiv
  5. Generalized complexity and dynamical response in holographic Vaidya spacetimes
    Mojtaba Shahbazi, Monireh Emami
    arXivPreprintCC BY 4.0Full textHigh-energy & particle physicsarXiv

Cite

BibTeXRIS
BibTeX
@misc{esposito2026dirac,
  title = {{Dirac fields in LRS III spacetimes: a dynamical systems analysis}},
  author = {Fabrizio Esposito and Sante Carloni and Stefano Vignolo},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.04810},
  eprint = {2609.04810},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.04810},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Dirac fields in LRS III spacetimes: a dynamical systems analysis
AU  - Fabrizio Esposito
AU  - Sante Carloni
AU  - Stefano Vignolo
PY  - 2026
DA  - 2026/09/04
PB  - arXiv
DO  - 10.48550/arxiv.2609.04810
UR  - https://arxiv.org/abs/2609.04810
AB  - Within the 1+1+2 covariant formalism, we investigate Locally Rotationally Symmetric (LRS) class III spacetimes sourced by a self-gravitating Dirac field expressed in polar form. By recasting the covariant field equations into an autonomous dynamical system, we perform a phase-space analysis of their solutions. We show that the cosmological evolution asymptotically converges to a contracting Bianchi I spacetime, a result also supported by numerical integrations of the system.
ER  -