Enviar artigo por via de e-mail Topologically Nontrivial Solution in Einstein-Dirac Gravity on the Hopf Bundle
- Autores: Dzhunushaliev V.1,2,3
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Afiliações:
- Department of Theoretical and Nuclear Physics
- IETP
- Institute of Systems Science
- Edição: Volume 24, Nº 3 (2018)
- Páginas: 267-273
- Seção: Article
- URL: https://journals.rcsi.science/0202-2893/article/view/176205
- DOI: https://doi.org/10.1134/S0202289318030052
- ID: 176205
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Resumo
A topologically nontrivial solution in Einstein-Dirac gravity with a cosmological constant is obtained. The space-time has the Hopf bundle as a spatial section. It is shown that the Hopf invariant is related to the spinor current density. Two Dirac spinors are used for obtaining a diagonal energy-momentum tensor. Solutions to the nongravitating Dirac equation in background Lorentzian space-time with the Hopf bundle as a spatial section are also obtained. Nongravitating solutions of the Dirac equation are characterized by two quantum half-integer numbers m, n.
Sobre autores
V. Dzhunushaliev
Department of Theoretical and Nuclear Physics; IETP; Institute of Systems Science
Autor responsável pela correspondência
Email: v.dzhunushaliev@gmail.com
Cazaquistão, Almaty, 050040; Almaty, 050040; Durban, 4000
