Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Neutrino Anomalies and Chiral Flipping in Anisotropic Einstein-Cartan Cosmology

Version 1 : Received: 11 March 2021 / Approved: 17 March 2021 / Online: 17 March 2021 (19:43:24 CET)

How to cite: Garcia de Andrade, L.C. Neutrino Anomalies and Chiral Flipping in Anisotropic Einstein-Cartan Cosmology. Preprints 2021, 2021030456 (doi: 10.20944/preprints202103.0456.v1). Garcia de Andrade, L.C. Neutrino Anomalies and Chiral Flipping in Anisotropic Einstein-Cartan Cosmology. Preprints 2021, 2021030456 (doi: 10.20944/preprints202103.0456.v1).

Abstract

Recently Palle has investigated the chiral vorticity and Cartan torsion in neutrino asymmetries. In his case he addressed this problem in Goedel s like anisotropic Einstein-Catan cosmology. In this paper we discusse how these ideas applied to sheared Bianchi types I Einstein-Cartan (EC) neutrino amisotropic cosmology, affect the handness of neutrinos in the universe. Actually here a novel concept of the chiral metric is introduced where metric functions also possess two distinct signs as in neutrino flipping or helicity. The axial anomaly equation for neutrinos in the presence of torsion and metric chirality is shown to produce left-handed neutrinos from right-handed torsion. Metric chirality is shown to be able to define how the metric would behave far away of neutrino density. Chiral flipping of the chiral neutrinos in the presence of torsion is also investigated. It is shown that when the chiral torsion is left-handed the chemical chiral potential vanishes as the universe expands.

Subject Areas

cosmology; quantum anomalies

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