Abstract
We consider the precession of a Dirac particle spin in some anisotropic Bianchi universes. This effect is present already in the Bianchi-I universe. We discuss in some detail the geodesics and the spin precession for both the Kasner and the Heckmann-Schucking solutions. In the Bianchi-IX universe the spin precession acquires the chaotic character due to the stochasticity of the oscillatory approach to the cosmological singularity. The related helicity flip of fermions in the very early Universe may produce the sterile particles contributing to dark matter.
Highlights
In almost all the applications of mathematical cosmology to the elaboration of observational data the isotropic Friedmann cosmological models are used
We consider the precession of a Dirac particle spin in some anisotropic Bianchi universes
The related helicity flip of fermions in the very early universe may produce the sterile particles contributing to dark matter
Summary
In almost all the applications of mathematical cosmology to the elaboration of observational data the isotropic Friedmann cosmological models are used. First of all, two qualitatively different contributions to the angular velocity are present and, second, the oscillatory approach to the singularity [3,4] implies the stochasticity of the changes of the direction of the precession axis. The similar precession effects are present for classical rotators due to the equivalence principle and might be manifested in the structure formation in the very early universe. 4 is devoted to the Heckmann–Schucking solution for a BianchiI universe filled with a dust-like matter; in the fifth section we consider the precession of spin in a Bianchi-IX universe; in the concluding section we discuss possible physical applications of described effects and give a short outlook of the future directions of investigations. [12], we present the general formula for the precession of the Dirac particle, adapted for the case of Bianchi universes, where we shall use the synchronous reference frame.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
