2016
DOI: 10.1134/s1547477116030122
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Chaotic spin precession in anisotropic universes and fermionic dark matter

Abstract: 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 p… Show more

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Cited by 4 publications
(3 citation statements)
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“…It is very small when scattering by a single object is considered but may be enhanced when a neutrino propagates in the Universe. This effect can be especially strong for anisotropic Bianchi universes [21]. The anisotropy of the Universe leads to precession of spin (and, according to the EP, as discussed above, to the helicity flip) with a characteristic timescale on the order of a very early Universe age.…”
Section: -4mentioning
confidence: 99%
“…It is very small when scattering by a single object is considered but may be enhanced when a neutrino propagates in the Universe. This effect can be especially strong for anisotropic Bianchi universes [21]. The anisotropy of the Universe leads to precession of spin (and, according to the EP, as discussed above, to the helicity flip) with a characteristic timescale on the order of a very early Universe age.…”
Section: -4mentioning
confidence: 99%
“…This opens [12], in principle, the possibility to attribute the dark matter to the contribution of light sterile neutrinos whose abundance would be much larger than that of thermal ones. The validity of (6.3) would require a sort of fine tuning, but not too strong one, as the required excess of sterile neutrinos is about two orders of magnitude, and the closeness of the rotation angle to π should be also at the percent level.…”
Section: Precession In a Bianchi-ix Universementioning
confidence: 99%
“…Finally, the non-vanishing components of the "gravitomagnetic" contribution to the precession of the Dirac particle in the Bianchi-I universe is, up to cyclic permutations [16],…”
Section: The Precession Of the Dirac Particle In A Gravitational Fieldmentioning
confidence: 99%