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On Killing vector fields of a homogeneous and isotropic universe in closed model
"... Abstract. Killing vector fields of a closed homogeneous and isotropic universe are studied. It is shown that in general case there is no timelike Killing vector fields in such a universe. Two exceptional cases are revealed. 1. Introduction. Killing vector fields (infinitesimal isometries) are used ..."
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Abstract. Killing vector fields of a closed homogeneous and isotropic universe are studied. It is shown that in general case there is no timelike Killing vector fields in such a universe. Two exceptional cases are revealed. 1. Introduction. Killing vector fields (infinitesimal isometries) are used in building vacuum states for quantum fields in a curved spacetime (see [1] and [2]). We study a homogeneous and isotropic universe as an example of such a curved spacetime. This
ON DEFORMATIONS OF METRICS AND THEIR ASSOCIATED SPINOR STRUCTURES.
, 709
"... Abstract. Smooth deformations of a Minkowski type metric in a fourdimensional spacetime manifold are considered. Deformations of the basic spintensorial fields associated with this metric are calculated and their application to calculating the energymomentum tensor of a massive spin 1/2 particle ..."
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Abstract. Smooth deformations of a Minkowski type metric in a fourdimensional spacetime manifold are considered. Deformations of the basic spintensorial fields associated with this metric are calculated and their application to calculating the energymomentum tensor of a massive spin 1/2 particle is shown. 1. Introduction. Let M be a fourdimensional orientable manifold equipped with a Minkowski type metric g and with a polarization 1. In general relativity such a manifold M is used as a stage for all physical phenomena. When describing the spin phenomenon M is additionally assumed to be a spin manifold. In this case it admits two spinor
A NOTE ON KOSMANNLIE DERIVATIVES OF WEYL SPINORS.
, 801
"... Abstract. KosmannLie derivatives in the bundle of Weyl spinors are considered. It is shown that the basic spintensorial fields of this bundle are constants with respect to these derivatives. 1. Introduction. Lie derivatives arise in studying continuous symmetries of various geometric structures on ..."
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Abstract. KosmannLie derivatives in the bundle of Weyl spinors are considered. It is shown that the basic spintensorial fields of this bundle are constants with respect to these derivatives. 1. Introduction. Lie derivatives arise in studying continuous symmetries of various geometric structures on manifolds. They are also used in symmetry analysis of ordinary and partial differential equations (see [1]). In general relativity the bundle of Weyl spinors SM is a special geometric structure built over the spacetime manifold M.