Space-time symmetries and the gravitational-neutrino field equations in general relativity |
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Authors: | Charalampos A Kolassis |
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Institution: | Laboratoire de Physique Théorique, Institut Henri Poincaré, 11, rue Pierre et Marie Curie, 75231 Paris Cedex 05, France |
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Abstract: | We consider a neutrino field with geodesic rays in interaction with a gravitational field admitting a Killing vector field nμ. It is found that for solutions of the Einstein-Weyl field equations the neutrino field ξA and the neutrino flux vector lμ are restricted by the equations: and , whereas s is a real constant. In the case of pure radiation neutrino fields these equations become: , , where p and s are in general real functions of the coordinates. |
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