NON-RIEMANNIAN THEORIES OF GRAVITATION AND THE DIRAC EQUATION
Автор:MUZAFFER ADAK Год: 2010 Издание:LAP Lambert Academic Publishing Страниц: 76 ISBN: 9783838351391 In Einstein''s gravitational theory, the space-time is pseudo-Riemannian, that is, it has vanishing torsion and vanishing non-metricity. In this work we investigate theories of gravitation in terms of non-Riemannian space-time geometries, then couple electromagnetic and spinor fields to this non-Riemannian gravity. In addition, we treat the Dirac equation containing torsion and non-metricity of space-time by lifting the tangent bundle to the spinor bundle. In order to gain physical insights on torsion and non-metricity we look at the low energy limit of the Dirac equation via the Foldy-Wouthuysen transformation. Finally we apply all these mathematical concepts to a physical phenomenon; solar neutrino problem. This problem is solved by the assumption of neutrino oscillations and it is seen that the torsion of space-time contributes to the oscillations depending on the polarization of spin states of mass eigenstates and this contribution is of the order of the Planck scale. This book...
