Email this article Topologically Nontrivial Solution in Einstein-Dirac Gravity on the Hopf Bundle
- Authors: Dzhunushaliev V.1,2,3
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Affiliations:
- Department of Theoretical and Nuclear Physics
- IETP
- Institute of Systems Science
- Issue: Vol 24, No 3 (2018)
- Pages: 267-273
- Section: Article
- URL: https://journals.rcsi.science/0202-2893/article/view/176205
- DOI: https://doi.org/10.1134/S0202289318030052
- ID: 176205
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Abstract
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.
About the authors
V. Dzhunushaliev
Department of Theoretical and Nuclear Physics; IETP; Institute of Systems Science
Author for correspondence.
Email: v.dzhunushaliev@gmail.com
Kazakhstan, Almaty, 050040; Almaty, 050040; Durban, 4000
